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GCF of 4918/766, 5833/970

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 4918/766, 5833/970 i.e 1/371510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4918/766, 5833/970.

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 4918/766,5833/970?

Given fractions are 4918/766,5833/970

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 4918/766,5833/970, numerators are 4918,5833

Denominators are 766,970

The GCF of 4918,5833 is 1 .

LCM of 766,970 is 371510.

The greatest common factor of 4918/766,5833/970 = [GCF of 4918,5833]/[LCM of 766,970]= 1/371510

Therefore, the GCF of 4918/766,5833/970 is 1/371510.

Greatest Common Factor of 4918,5833

To find the highest common factor of 4918,5833, we have to find the factors of both numbers and list the highest common factor.

The factors of 4918 are 1, 2, 2459, 4918

The factors of 5833 are 1, 19, 307, 5833

The HCF of 4918,5833 is 1.

Lets's calculate GCF of 4918,5833

Greatest Common Factor (GCF) of 4918,5833 By Common Division

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

Greatest Common Factor of 4918,5833 By Matching Biggest Common Factor Method

Greatest Common Factor of 4918,5833 By Matching Biggest Common Factor Method

Now, list down the factors of 4918

:

1,2,2459,4918

Now, list down the factors of 5833

:

1,19,307,5833

Greatest Common Factor

We found the factors 4918,5833 . The biggest common factor number is the GCF number.
So the greatest common factor 4918,5833 is 1.

Lets's calculate LCM of 766,970

Lowest Common Multiple of 766,970 using Common Division

2 766, 970
383, 485

∴ So the LCM of the given numbers is 2 x 383 x 485 = 371510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371510

Therefore, the GCF of Fractions 4918/766,5833/970 is 1/371510

Least Common Multiple of 766,970 with GCF Formula

Least Common Multiple of 766,970 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 766,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,970) = 2

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

GCF(766,970) x common factors =2 x 1 = 2

LCM(766,970) = ( 766 × 970 ) / 2

LCM(766,970) = 743020 / 2

LCM(766,970) = 371510


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FAQs on GCF of Fractions of 4918/766, 5833/970

1. What is the HCF of 4918,5833?

The HCF of 4918,5833 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 4918/766, 5833/970?

Answer: GCF of Numerators as per given numbers 4918/766, 5833/970 is

GCF of Numerators i.e. for 4918,5833 is 1

LCM of denominators i.e. for 766,970 is 371510.

Thus, GCF of Fractions is 1/371510.Finally, GCF of Fractions for 4918/766, 5833/970 is 1/371510.