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GCF of 129/630, 9964/580

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 129/630, 9964/580 i.e 1/36540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/630, 9964/580.

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 129/630,9964/580?

Given fractions are 129/630,9964/580

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 129/630,9964/580, numerators are 129,9964

Denominators are 630,580

The GCF of 129,9964 is 1 .

LCM of 630,580 is 36540.

The greatest common factor of 129/630,9964/580 = [GCF of 129,9964]/[LCM of 630,580]= 1/36540

Therefore, the GCF of 129/630,9964/580 is 1/36540.

Greatest Common Factor of 129,9964

To find the highest common factor of 129,9964, we have to find the factors of both numbers and list the highest common factor.

The factors of 129 are 1, 3, 43, 129

The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

The HCF of 129,9964 is 1.

Lets's calculate GCF of 129,9964

Greatest Common Factor (GCF) of 129,9964 By Common Division

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

Greatest Common Factor of 129,9964 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,9964 By Matching Biggest Common Factor Method

Now, list down the factors of 129

:

1,3,43,129

Now, list down the factors of 9964

:

1,2,4,47,53,94,106,188,212,2491,4982,9964

Greatest Common Factor

We found the factors 129,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 129,9964 is 1.


Lets's calculate LCM of 630,580

Lowest Common Multiple of 630,580 using Common Division

2 630, 580
5 315, 290
63, 58

∴ So the LCM of the given numbers is 2 x 5 x 63 x 58 = 36540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36540

Therefore, the GCF of Fractions 129/630,9964/580 is 1/36540

Least Common Multiple of 630,580 with GCF Formula

Least Common Multiple of 630,580 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 630,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,580) = 10

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

GCF(630,580) x common factors =10 x 1 = 10

LCM(630,580) = ( 630 × 580 ) / 10

LCM(630,580) = 365400 / 10

LCM(630,580) = 36540


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 129/630, 9964/580

1. What is the HCF of 129,9964?

The HCF of 129,9964 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 129/630, 9964/580?

Answer: GCF of Numerators as per given numbers 129/630, 9964/580 is

GCF of Numerators i.e. for 129,9964 is 1

LCM of denominators i.e. for 630,580 is 36540.

Thus, GCF of Fractions is 1/36540.Finally, GCF of Fractions for 129/630, 9964/580 is 1/36540.