Greatest Common Factor of 776/57, 698/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/57, 698/490

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 776/57,698/490

Given fractions are 776/57,698/490

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 776,698

Greatest Common Factor of Numerators i.e. GCF of 776,698 is 2 .

LCM of Denominators means LCM of 57,490 as per the given fractions.

LCM of 57,490 is 27930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,698

GCF of Fractions 776/57,698/490 is 2/27930

2 776, 698
388, 349

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

Greatest Common Factor of 776,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,698 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 776,698 . The biggest common factor number is the GCF number.
So the greatest common factor 776,698 is 2.

Lets's calculate LCM of 57,490

Given numbers has no common factors except 1. So, there LCM is their product i.e 27930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27930

Therefore, the GCF of Fractions 776/57,698/490 is 2/27930

Least Common Multiple of 57,490 with GCF Formula

Least Common Multiple of 57,490 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 57,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,490) = 1

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

GCF(57,490) x common factors =1 x 1 = 1

LCM(57,490) = ( 57 × 490 ) / 1

LCM(57,490) = 27930 / 1

LCM(57,490) = 27930


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 776/57, 698/490

1. 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.

2. What is the GCF of Fractions for 776/57, 698/490?

Answer: GCF of Numerators as per given numbers 776/57, 698/490 is

GCF of Numerators i.e. for 776,698 is 2

LCM of denominators i.e. for 57,490 is 27930.

Thus, GCF of Fractions is 2/27930.Finally, GCF of Fractions for 776/57, 698/490 is 2/27930.