Greatest Common Factor of 154/456, 684/700, 562/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/456, 684/700, 562/586

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 154/456,684/700,562/586

Given fractions are 154/456,684/700,562/586

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 154,684,562

Greatest Common Factor of Numerators i.e. GCF of 154,684,562 is 2 .

LCM of Denominators means LCM of 456,700,586 as per the given fractions.

LCM of 456,700,586 is 23381400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,684,562

GCF of Fractions 154/456,684/700,562/586 is 2/23381400

2 154, 684, 562
77, 342, 281

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

Greatest Common Factor of 154,684,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,684,562 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 154,684,562 . The biggest common factor number is the GCF number.
So the greatest common factor 154,684,562 is 2.

Lets's calculate LCM of 456,700,586

2 456, 700, 586
2 228, 350, 293
114, 175, 293

∴ So the LCM of the given numbers is 2 x 2 x 114 x 175 x 293 = 23381400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23381400

Therefore, the GCF of Fractions 154/456,684/700,562/586 is 2/23381400

Least Common Multiple of 456,700,586 with GCF Formula

Least Common Multiple of 456,700,586 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 456,700,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,700,586) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(456,700,586) x common factors =2 x 4 = 8

LCM(456,700,586) = ( 456 × 700 × 586 ) / 8

LCM(456,700,586) = 187051200 / 8

LCM(456,700,586) = 23381400


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 154/456, 684/700, 562/586

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 154/456, 684/700, 562/586?

Answer: GCF of Numerators as per given numbers 154/456, 684/700, 562/586 is

GCF of Numerators i.e. for 154,684,562 is 2

LCM of denominators i.e. for 456,700,586 is 23381400.

Thus, GCF of Fractions is 2/23381400.Finally, GCF of Fractions for 154/456, 684/700, 562/586 is 2/23381400.