Greatest Common Factor of 2/70, 92/87, 12/537, 444/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/70, 92/87, 12/537, 444/998

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 2/70,92/87,12/537,444/998

Given fractions are 2/70,92/87,12/537,444/998

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 2,92,12,444

Greatest Common Factor of Numerators i.e. GCF of 2,92,12,444 is 2 .

LCM of Denominators means LCM of 70,87,537,998 as per the given fractions.

LCM of 70,87,537,998 is 543964890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,92,12,444

GCF of Fractions 2/70,92/87,12/537,444/998 is 2/543964890

2 2, 92, 12, 444
1, 46, 6, 222

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

Greatest Common Factor of 2,92,12,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,92,12,444 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 2,92,12,444 . The biggest common factor number is the GCF number.
So the greatest common factor 2,92,12,444 is 2.

Lets's calculate LCM of 70,87,537,998

2 70, 87, 537, 998
3 35, 87, 537, 499
35, 29, 179, 499

∴ So the LCM of the given numbers is 2 x 3 x 35 x 29 x 179 x 499 = 543964890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543964890

Therefore, the GCF of Fractions 2/70,92/87,12/537,444/998 is 2/543964890

Least Common Multiple of 70,87,537,998 with GCF Formula

Least Common Multiple of 70,87,537,998 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 70,87,537,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,87,537,998) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(70,87,537,998) x common factors =1 x 6 = 6

LCM(70,87,537,998) = ( 70 × 87 × 537 × 998 ) / 6

LCM(70,87,537,998) = 3263789340 / 6

LCM(70,87,537,998) = 543964890


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 2/70, 92/87, 12/537, 444/998

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 2/70, 92/87, 12/537, 444/998?

Answer: GCF of Numerators as per given numbers 2/70, 92/87, 12/537, 444/998 is

GCF of Numerators i.e. for 2,92,12,444 is 2

LCM of denominators i.e. for 70,87,537,998 is 543964890.

Thus, GCF of Fractions is 2/543964890.Finally, GCF of Fractions for 2/70, 92/87, 12/537, 444/998 is 2/543964890.