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GCF of 633/65, 712/962

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 633/65, 712/962 i.e 1/4810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 633/65, 712/962.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 633/65,712/962?

Given fractions are 633/65,712/962

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 633/65,712/962, numerators are 633,712

Denominators are 65,962

The GCF of 633,712 is 1 .

LCM of 65,962 is 4810.

The greatest common factor of 633/65,712/962 = [GCF of 633,712]/[LCM of 65,962]= 1/4810

Therefore, the GCF of 633/65,712/962 is 1/4810.

Greatest Common Factor of 633,712

To find the highest common factor of 633,712, we have to find the factors of both numbers and list the highest common factor.

The factors of 633 are 1, 3, 211, 633

The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712

The HCF of 633,712 is 1.

Lets's calculate GCF of 633,712

Greatest Common Factor (GCF) of 633,712 By Common Division

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

Greatest Common Factor of 633,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,712 By Matching Biggest Common Factor Method

Now, list down the factors of 633

:

1,3,211,633

Now, list down the factors of 712

:

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 633,712 . The biggest common factor number is the GCF number.
So the greatest common factor 633,712 is 1.

Lets's calculate LCM of 65,962

Lowest Common Multiple of 65,962 using Common Division

13 65, 962
5, 74

∴ So the LCM of the given numbers is 13 x 5 x 74 = 4810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4810

Therefore, the GCF of Fractions 633/65,712/962 is 1/4810

Least Common Multiple of 65,962 with GCF Formula

Least Common Multiple of 65,962 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 65,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,962) = 13

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

GCF(65,962) x common factors =13 x 1 = 13

LCM(65,962) = ( 65 × 962 ) / 13

LCM(65,962) = 62530 / 13

LCM(65,962) = 4810


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FAQs on GCF of Fractions of 633/65, 712/962

1. What is the HCF of 633,712?

The HCF of 633,712 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 633/65, 712/962?

Answer: GCF of Numerators as per given numbers 633/65, 712/962 is

GCF of Numerators i.e. for 633,712 is 1

LCM of denominators i.e. for 65,962 is 4810.

Thus, GCF of Fractions is 1/4810.Finally, GCF of Fractions for 633/65, 712/962 is 1/4810.