How to Find GCF of 907/404, 120/636?

GCF of 907/404, 120/636

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 907/404, 120/636 i.e 1/64236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/404, 120/636.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 907/404,120/636?

Given fractions are 907/404,120/636

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 907/404,120/636, numerators are 907,120

Denominators are 404,636

The GCF of 907,120 is 1 .

LCM of 404,636 is 64236.

The greatest common factor of 907/404,120/636 = [GCF of 907,120]/[LCM of 404,636]= 1/64236

Therefore, the GCF of 907/404,120/636 is 1/64236.

Greatest Common Factor of 907,120

To find the highest common factor of 907,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The HCF of 907,120 is 1.

Lets's calculate GCF of 907,120

Greatest Common Factor (GCF) of 907,120 By Common Division

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

Greatest Common Factor of 907,120 By Matching Biggest Common Factor Method

Now, list down the factors of 907

1,907

Now, list down the factors of 120

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 907,120 . The biggest common factor number is the GCF number.
So the greatest common factor 907,120 is 1.

Lets's calculate LCM of 404,636

Lowest Common Multiple of 404,636 using Common Division

2	404, 636
2	202, 318
	101, 159

∴ So the LCM of the given numbers is 2 x 2 x 101 x 159 = 64236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64236

Therefore, the GCF of Fractions 907/404,120/636 is 1/64236

Least Common Multiple of 404,636 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,636) = 4

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

GCF(404,636) x common factors =4 x 1 = 4

LCM(404,636) = ( 404 × 636 ) / 4

LCM(404,636) = 256944 / 4

LCM(404,636) = 64236

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FAQs on GCF of Fractions of 907/404, 120/636

1. What is the HCF of 907,120?

The HCF of 907,120 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 907/404, 120/636?

Answer: GCF of Numerators as per given numbers 907/404, 120/636 is

GCF of Numerators i.e. for 907,120 is 1

LCM of denominators i.e. for 404,636 is 64236.

Thus, GCF of Fractions is 1/64236.Finally, GCF of Fractions for 907/404, 120/636 is 1/64236.