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 949/978, 635/816

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 949/978, 635/816 i.e 1/133008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/978, 635/816.

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 949/978,635/816?

Given fractions are 949/978,635/816

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 949/978,635/816, numerators are 949,635

Denominators are 978,816

The GCF of 949,635 is 1 .

LCM of 978,816 is 133008.

The greatest common factor of 949/978,635/816 = [GCF of 949,635]/[LCM of 978,816]= 1/133008

Therefore, the GCF of 949/978,635/816 is 1/133008.

Greatest Common Factor of 949,635

To find the highest common factor of 949,635, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 635 are 1, 5, 127, 635

The HCF of 949,635 is 1.

Lets's calculate GCF of 949,635

Greatest Common Factor (GCF) of 949,635 By Common Division

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

Greatest Common Factor of 949,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,635 By Matching Biggest Common Factor Method

Now, list down the factors of 949

:

1,13,73,949

Now, list down the factors of 635

:

1,5,127,635

Greatest Common Factor

We found the factors 949,635 . The biggest common factor number is the GCF number.
So the greatest common factor 949,635 is 1.

Lets's calculate LCM of 978,816

Lowest Common Multiple of 978,816 using Common Division

2 978, 816
3 489, 408
163, 136

∴ So the LCM of the given numbers is 2 x 3 x 163 x 136 = 133008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133008

Therefore, the GCF of Fractions 949/978,635/816 is 1/133008

Least Common Multiple of 978,816 with GCF Formula

Least Common Multiple of 978,816 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 978,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,816) = 6

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

GCF(978,816) x common factors =6 x 1 = 6

LCM(978,816) = ( 978 × 816 ) / 6

LCM(978,816) = 798048 / 6

LCM(978,816) = 133008


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 949/978, 635/816

1. What is the HCF of 949,635?

The HCF of 949,635 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 949/978, 635/816?

Answer: GCF of Numerators as per given numbers 949/978, 635/816 is

GCF of Numerators i.e. for 949,635 is 1

LCM of denominators i.e. for 978,816 is 133008.

Thus, GCF of Fractions is 1/133008.Finally, GCF of Fractions for 949/978, 635/816 is 1/133008.