Greatest Common Factor of 1475/76, 7600/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1475/76, 7600/883

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 1475/76,7600/883

Given fractions are 1475/76,7600/883

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 1475,7600

Greatest Common Factor of Numerators i.e. GCF of 1475,7600 is 25 .

LCM of Denominators means LCM of 76,883 as per the given fractions.

LCM of 76,883 is 67108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1475,7600

GCF of Fractions 1475/76,7600/883 is 25/67108

5 1475, 7600
5 295, 1520
59, 304

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 1475,7600 By Matching Biggest Common Factor Method

Greatest Common Factor of 1475,7600 By Matching Biggest Common Factor Method

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600

Greatest Common Factor

We found the factors 1475,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,7600 is 25.

Lets's calculate LCM of 76,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 67108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/67108

Therefore, the GCF of Fractions 1475/76,7600/883 is 25/67108

Least Common Multiple of 76,883 with GCF Formula

Least Common Multiple of 76,883 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 76,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,883) = 1

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

GCF(76,883) x common factors =1 x 1 = 1

LCM(76,883) = ( 76 × 883 ) / 1

LCM(76,883) = 67108 / 1

LCM(76,883) = 67108


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 1475/76, 7600/883

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 1475/76, 7600/883?

Answer: GCF of Numerators as per given numbers 1475/76, 7600/883 is

GCF of Numerators i.e. for 1475,7600 is 25

LCM of denominators i.e. for 76,883 is 67108.

Thus, GCF of Fractions is 25/67108.Finally, GCF of Fractions for 1475/76, 7600/883 is 25/67108.