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GCF of 7955/944, 5084/425

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 7955/944, 5084/425 i.e 1/401200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7955/944, 5084/425.

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 7955/944,5084/425?

Given fractions are 7955/944,5084/425

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 7955/944,5084/425, numerators are 7955,5084

Denominators are 944,425

The GCF of 7955,5084 is 1 .

LCM of 944,425 is 401200.

The greatest common factor of 7955/944,5084/425 = [GCF of 7955,5084]/[LCM of 944,425]= 1/401200

Therefore, the GCF of 7955/944,5084/425 is 1/401200.

Greatest Common Factor of 7955,5084

To find the highest common factor of 7955,5084, we have to find the factors of both numbers and list the highest common factor.

The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955

The factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

The HCF of 7955,5084 is 1.

Lets's calculate GCF of 7955,5084

Greatest Common Factor (GCF) of 7955,5084 By Common Division

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

Greatest Common Factor of 7955,5084 By Matching Biggest Common Factor Method

Greatest Common Factor of 7955,5084 By Matching Biggest Common Factor Method

Now, list down the factors of 7955

:

1,5,37,43,185,215,1591,7955

Now, list down the factors of 5084

:

1,2,4,31,41,62,82,124,164,1271,2542,5084

Greatest Common Factor

We found the factors 7955,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,5084 is 1.


Lets's calculate LCM of 944,425

Lowest Common Multiple of 944,425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401200

Therefore, the GCF of Fractions 7955/944,5084/425 is 1/401200

Least Common Multiple of 944,425 with GCF Formula

Least Common Multiple of 944,425 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 944,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,425) = 1

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

GCF(944,425) x common factors =1 x 1 = 1

LCM(944,425) = ( 944 × 425 ) / 1

LCM(944,425) = 401200 / 1

LCM(944,425) = 401200


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7955/944, 5084/425

1. What is the HCF of 7955,5084?

The HCF of 7955,5084 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 7955/944, 5084/425?

Answer: GCF of Numerators as per given numbers 7955/944, 5084/425 is

GCF of Numerators i.e. for 7955,5084 is 1

LCM of denominators i.e. for 944,425 is 401200.

Thus, GCF of Fractions is 1/401200.Finally, GCF of Fractions for 7955/944, 5084/425 is 1/401200.