How to Find GCF of 924/65, 636/914?

GCF of 924/65, 636/914

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 924/65, 636/914 i.e 12/59410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/65, 636/914.

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 924/65,636/914?

Given fractions are 924/65,636/914

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 924/65,636/914, numerators are 924,636

Denominators are 65,914

The GCF of 924,636 is 12 .

LCM of 65,914 is 59410.

The greatest common factor of 924/65,636/914 = [GCF of 924,636]/[LCM of 65,914]= 12/59410

Therefore, the GCF of 924/65,636/914 is 12/59410.

Greatest Common Factor of 924,636

To find the highest common factor of 924,636, we have to find the factors of both numbers and list the highest common factor.

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The HCF of 924,636 is 12.

Lets's calculate GCF of 924,636

Greatest Common Factor (GCF) of 924,636 By Common Division

2	924, 636
2	462, 318
3	231, 159
	77, 53

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 924,636 By Matching Biggest Common Factor Method

Now, list down the factors of 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Now, list down the factors of 636

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 924,636 . The biggest common factor number is the GCF number.
So the greatest common factor 924,636 is 12.

Lets's calculate LCM of 65,914

Lowest Common Multiple of 65,914 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/59410

Therefore, the GCF of Fractions 924/65,636/914 is 12/59410

Least Common Multiple of 65,914 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 65,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,914) = 1

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

GCF(65,914) x common factors =1 x 1 = 1

LCM(65,914) = ( 65 × 914 ) / 1

LCM(65,914) = 59410 / 1

LCM(65,914) = 59410

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FAQs on GCF of Fractions of 924/65, 636/914

1. What is the HCF of 924,636?

The HCF of 924,636 is 12

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 924/65, 636/914?

Answer: GCF of Numerators as per given numbers 924/65, 636/914 is

GCF of Numerators i.e. for 924,636 is 12

LCM of denominators i.e. for 65,914 is 59410.

Thus, GCF of Fractions is 12/59410.Finally, GCF of Fractions for 924/65, 636/914 is 12/59410.