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GCF of 46/608, 7529/4841

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 46/608, 7529/4841 i.e 1/2943328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/608, 7529/4841.

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 46/608,7529/4841?

Given fractions are 46/608,7529/4841

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 46/608,7529/4841, numerators are 46,7529

Denominators are 608,4841

The GCF of 46,7529 is 1 .

LCM of 608,4841 is 2943328.

The greatest common factor of 46/608,7529/4841 = [GCF of 46,7529]/[LCM of 608,4841]= 1/2943328

Therefore, the GCF of 46/608,7529/4841 is 1/2943328.

Greatest Common Factor of 46,7529

To find the highest common factor of 46,7529, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 7529 are 1, 7529

The HCF of 46,7529 is 1.

Lets's calculate GCF of 46,7529

Greatest Common Factor (GCF) of 46,7529 By Common Division

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

Greatest Common Factor of 46,7529 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7529 By Matching Biggest Common Factor Method

Now, list down the factors of 46

:

1,2,23,46

Now, list down the factors of 7529

:

1,7529

Greatest Common Factor

We found the factors 46,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7529 is 1.

Lets's calculate LCM of 608,4841

Lowest Common Multiple of 608,4841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2943328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2943328

Therefore, the GCF of Fractions 46/608,7529/4841 is 1/2943328

Least Common Multiple of 608,4841 with GCF Formula

Least Common Multiple of 608,4841 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 608,4841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,4841) = 1

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

GCF(608,4841) x common factors =1 x 1 = 1

LCM(608,4841) = ( 608 × 4841 ) / 1

LCM(608,4841) = 2943328 / 1

LCM(608,4841) = 2943328


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FAQs on GCF of Fractions of 46/608, 7529/4841

1. What is the HCF of 46,7529?

The HCF of 46,7529 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 46/608, 7529/4841?

Answer: GCF of Numerators as per given numbers 46/608, 7529/4841 is

GCF of Numerators i.e. for 46,7529 is 1

LCM of denominators i.e. for 608,4841 is 2943328.

Thus, GCF of Fractions is 1/2943328.Finally, GCF of Fractions for 46/608, 7529/4841 is 1/2943328.