Greatest Common Factor of 4/64, 36/60, 89/633, 426/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/64, 36/60, 89/633, 426/648

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 4/64,36/60,89/633,426/648

Given fractions are 4/64,36/60,89/633,426/648

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 4,36,89,426

Greatest Common Factor of Numerators i.e. GCF of 4,36,89,426 is 1 .

LCM of Denominators means LCM of 64,60,633,648 as per the given fractions.

LCM of 64,60,633,648 is 5469120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,36,89,426

GCF of Fractions 4/64,36/60,89/633,426/648 is 1/5469120

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

Greatest Common Factor of 4,36,89,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,36,89,426 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 4,36,89,426 . The biggest common factor number is the GCF number.
So the greatest common factor 4,36,89,426 is 1.

Lets's calculate LCM of 64,60,633,648

2 64, 60, 633, 648
2 32, 30, 633, 324
2 16, 15, 633, 162
3 8, 15, 633, 81
8, 5, 211, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 5 x 211 x 27 = 5469120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5469120

Therefore, the GCF of Fractions 4/64,36/60,89/633,426/648 is 1/5469120

Least Common Multiple of 64,60,633,648 with GCF Formula

Least Common Multiple of 64,60,633,648 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 64,60,633,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,60,633,648) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(64,60,633,648) x common factors =1 x 288 = 288

LCM(64,60,633,648) = ( 64 × 60 × 633 × 648 ) / 288

LCM(64,60,633,648) = 1575106560 / 288

LCM(64,60,633,648) = 5469120


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 4/64, 36/60, 89/633, 426/648

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 4/64, 36/60, 89/633, 426/648?

Answer: GCF of Numerators as per given numbers 4/64, 36/60, 89/633, 426/648 is

GCF of Numerators i.e. for 4,36,89,426 is 1

LCM of denominators i.e. for 64,60,633,648 is 5469120.

Thus, GCF of Fractions is 1/5469120.Finally, GCF of Fractions for 4/64, 36/60, 89/633, 426/648 is 1/5469120.