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GCF of 1301/932, 8515/984

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 1301/932, 8515/984 i.e 1/229272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1301/932, 8515/984.

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 1301/932,8515/984?

Given fractions are 1301/932,8515/984

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 1301/932,8515/984, numerators are 1301,8515

Denominators are 932,984

The GCF of 1301,8515 is 1 .

LCM of 932,984 is 229272.

The greatest common factor of 1301/932,8515/984 = [GCF of 1301,8515]/[LCM of 932,984]= 1/229272

Therefore, the GCF of 1301/932,8515/984 is 1/229272.

Greatest Common Factor of 1301,8515

To find the highest common factor of 1301,8515, we have to find the factors of both numbers and list the highest common factor.

The factors of 1301 are 1, 1301

The factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515

The HCF of 1301,8515 is 1.

Lets's calculate GCF of 1301,8515

Greatest Common Factor (GCF) of 1301,8515 By Common Division

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

Greatest Common Factor of 1301,8515 By Matching Biggest Common Factor Method

Greatest Common Factor of 1301,8515 By Matching Biggest Common Factor Method

Now, list down the factors of 1301

:

1,1301

Now, list down the factors of 8515

:

1,5,13,65,131,655,1703,8515

Greatest Common Factor

We found the factors 1301,8515 . The biggest common factor number is the GCF number.
So the greatest common factor 1301,8515 is 1.

Lets's calculate LCM of 932,984

Lowest Common Multiple of 932,984 using Common Division

2 932, 984
2 466, 492
233, 246

∴ So the LCM of the given numbers is 2 x 2 x 233 x 246 = 229272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229272

Therefore, the GCF of Fractions 1301/932,8515/984 is 1/229272

Least Common Multiple of 932,984 with GCF Formula

Least Common Multiple of 932,984 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 932,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,984) = 4

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

GCF(932,984) x common factors =4 x 1 = 4

LCM(932,984) = ( 932 × 984 ) / 4

LCM(932,984) = 917088 / 4

LCM(932,984) = 229272


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1301/932, 8515/984

1. What is the HCF of 1301,8515?

The HCF of 1301,8515 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 1301/932, 8515/984?

Answer: GCF of Numerators as per given numbers 1301/932, 8515/984 is

GCF of Numerators i.e. for 1301,8515 is 1

LCM of denominators i.e. for 932,984 is 229272.

Thus, GCF of Fractions is 1/229272.Finally, GCF of Fractions for 1301/932, 8515/984 is 1/229272.