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 916/77, 290/205

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 916/77, 290/205 i.e 2/15785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 916/77, 290/205.

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 916/77,290/205?

Given fractions are 916/77,290/205

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 916/77,290/205, numerators are 916,290

Denominators are 77,205

The GCF of 916,290 is 2 .

LCM of 77,205 is 15785.

The greatest common factor of 916/77,290/205 = [GCF of 916,290]/[LCM of 77,205]= 2/15785

Therefore, the GCF of 916/77,290/205 is 2/15785.

Greatest Common Factor of 916,290

To find the highest common factor of 916,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 916 are 1, 2, 4, 229, 458, 916

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 916,290 is 2.

Lets's calculate GCF of 916,290

Greatest Common Factor (GCF) of 916,290 By Common Division

2 916, 290
458, 145

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 916,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,290 By Matching Biggest Common Factor Method

Now, list down the factors of 916

:

1,2,4,229,458,916

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 916,290 . The biggest common factor number is the GCF number.
So the greatest common factor 916,290 is 2.

Lets's calculate LCM of 77,205

Lowest Common Multiple of 77,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15785

Therefore, the GCF of Fractions 916/77,290/205 is 2/15785

Least Common Multiple of 77,205 with GCF Formula

Least Common Multiple of 77,205 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 77,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,205) = 1

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

GCF(77,205) x common factors =1 x 1 = 1

LCM(77,205) = ( 77 × 205 ) / 1

LCM(77,205) = 15785 / 1

LCM(77,205) = 15785


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 916/77, 290/205

1. What is the HCF of 916,290?

The HCF of 916,290 is 2

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 916/77, 290/205?

Answer: GCF of Numerators as per given numbers 916/77, 290/205 is

GCF of Numerators i.e. for 916,290 is 2

LCM of denominators i.e. for 77,205 is 15785.

Thus, GCF of Fractions is 2/15785.Finally, GCF of Fractions for 916/77, 290/205 is 2/15785.