LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 965/932, 4481/8516

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 965/932, 4481/8516 i.e 1/1984228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/932, 4481/8516.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 965/932,4481/8516?

Given fractions are 965/932,4481/8516

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 965/932,4481/8516, numerators are 965,4481

Denominators are 932,8516

The GCF of 965,4481 is 1 .

LCM of 932,8516 is 1984228.

The greatest common factor of 965/932,4481/8516 = [GCF of 965,4481]/[LCM of 932,8516]= 1/1984228

Therefore, the GCF of 965/932,4481/8516 is 1/1984228.

Greatest Common Factor of 965,4481

To find the highest common factor of 965,4481, we have to find the factors of both numbers and list the highest common factor.

The factors of 965 are 1, 5, 193, 965

The factors of 4481 are 1, 4481

The HCF of 965,4481 is 1.

Lets's calculate GCF of 965,4481

Greatest Common Factor (GCF) of 965,4481 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 965,4481 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,4481 By Matching Biggest Common Factor Method

Now, list down the factors of 965

:

1,5,193,965

Now, list down the factors of 4481

:

1,4481

Greatest Common Factor

We found the factors 965,4481 . The biggest common factor number is the GCF number.
So the greatest common factor 965,4481 is 1.

Lets's calculate LCM of 932,8516

Lowest Common Multiple of 932,8516 using Common Division

2 932, 8516
2 466, 4258
233, 2129

∴ So the LCM of the given numbers is 2 x 2 x 233 x 2129 = 1984228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984228

Therefore, the GCF of Fractions 965/932,4481/8516 is 1/1984228

Least Common Multiple of 932,8516 with GCF Formula

Least Common Multiple of 932,8516 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 932,8516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,8516) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(932,8516) x common factors =4 x 1 = 4

LCM(932,8516) = ( 932 × 8516 ) / 4

LCM(932,8516) = 7936912 / 4

LCM(932,8516) = 1984228


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 965/932, 4481/8516

1. What is the HCF of 965,4481?

The HCF of 965,4481 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 965/932, 4481/8516?

Answer: GCF of Numerators as per given numbers 965/932, 4481/8516 is

GCF of Numerators i.e. for 965,4481 is 1

LCM of denominators i.e. for 932,8516 is 1984228.

Thus, GCF of Fractions is 1/1984228.Finally, GCF of Fractions for 965/932, 4481/8516 is 1/1984228.