Greatest Common Factor of 7700/85, 3948/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7700/85, 3948/419

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 7700/85,3948/419

Given fractions are 7700/85,3948/419

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 7700,3948

Greatest Common Factor of Numerators i.e. GCF of 7700,3948 is 28 .

LCM of Denominators means LCM of 85,419 as per the given fractions.

LCM of 85,419 is 35615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7700,3948

GCF of Fractions 7700/85,3948/419 is 28/35615

2 7700, 3948
2 3850, 1974
7 1925, 987
275, 141

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7700,3948 By Matching Biggest Common Factor Method

Greatest Common Factor of 7700,3948 By Matching Biggest Common Factor Method

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948

Greatest Common Factor

We found the factors 7700,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 7700,3948 is 28.

Lets's calculate LCM of 85,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 35615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/35615

Therefore, the GCF of Fractions 7700/85,3948/419 is 28/35615

Least Common Multiple of 85,419 with GCF Formula

Least Common Multiple of 85,419 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 85,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,419) = 1

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

GCF(85,419) x common factors =1 x 1 = 1

LCM(85,419) = ( 85 × 419 ) / 1

LCM(85,419) = 35615 / 1

LCM(85,419) = 35615


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 7700/85, 3948/419

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 7700/85, 3948/419?

Answer: GCF of Numerators as per given numbers 7700/85, 3948/419 is

GCF of Numerators i.e. for 7700,3948 is 28

LCM of denominators i.e. for 85,419 is 35615.

Thus, GCF of Fractions is 28/35615.Finally, GCF of Fractions for 7700/85, 3948/419 is 28/35615.