Greatest Common Factor of 770/64, 196/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/64, 196/530

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 770/64,196/530

Given fractions are 770/64,196/530

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 770,196

Greatest Common Factor of Numerators i.e. GCF of 770,196 is 14 .

LCM of Denominators means LCM of 64,530 as per the given fractions.

LCM of 64,530 is 16960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,196

GCF of Fractions 770/64,196/530 is 14/16960

2 770, 196
7 385, 98
55, 14

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 770,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,196 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 770,196 . The biggest common factor number is the GCF number.
So the greatest common factor 770,196 is 14.

Lets's calculate LCM of 64,530

2 64, 530
32, 265

∴ So the LCM of the given numbers is 2 x 32 x 265 = 16960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/16960

Therefore, the GCF of Fractions 770/64,196/530 is 14/16960

Least Common Multiple of 64,530 with GCF Formula

Least Common Multiple of 64,530 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 64,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,530) = 2

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

GCF(64,530) x common factors =2 x 1 = 2

LCM(64,530) = ( 64 × 530 ) / 2

LCM(64,530) = 33920 / 2

LCM(64,530) = 16960


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 770/64, 196/530

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 770/64, 196/530?

Answer: GCF of Numerators as per given numbers 770/64, 196/530 is

GCF of Numerators i.e. for 770,196 is 14

LCM of denominators i.e. for 64,530 is 16960.

Thus, GCF of Fractions is 14/16960.Finally, GCF of Fractions for 770/64, 196/530 is 14/16960.