Greatest Common Factor of 88/119, 874/770, 487/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/119, 874/770, 487/257

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 88/119,874/770,487/257

Given fractions are 88/119,874/770,487/257

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 88,874,487

Greatest Common Factor of Numerators i.e. GCF of 88,874,487 is 1 .

LCM of Denominators means LCM of 119,770,257 as per the given fractions.

LCM of 119,770,257 is 3364130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,874,487

GCF of Fractions 88/119,874/770,487/257 is 1/3364130

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 88,874,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,874,487 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 88,874,487 . The biggest common factor number is the GCF number.
So the greatest common factor 88,874,487 is 1.

Lets's calculate LCM of 119,770,257

7 119, 770, 257
17, 110, 257

∴ So the LCM of the given numbers is 7 x 17 x 110 x 257 = 3364130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3364130

Therefore, the GCF of Fractions 88/119,874/770,487/257 is 1/3364130

Least Common Multiple of 119,770,257 with GCF Formula

Least Common Multiple of 119,770,257 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 119,770,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,770,257) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(119,770,257) x common factors =1 x 7 = 7

LCM(119,770,257) = ( 119 × 770 × 257 ) / 7

LCM(119,770,257) = 23548910 / 7

LCM(119,770,257) = 3364130


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 88/119, 874/770, 487/257

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 88/119, 874/770, 487/257?

Answer: GCF of Numerators as per given numbers 88/119, 874/770, 487/257 is

GCF of Numerators i.e. for 88,874,487 is 1

LCM of denominators i.e. for 119,770,257 is 3364130.

Thus, GCF of Fractions is 1/3364130.Finally, GCF of Fractions for 88/119, 874/770, 487/257 is 1/3364130.