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GCF of 3802/710, 3721/5343

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 3802/710, 3721/5343 i.e 1/3793530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3802/710, 3721/5343.

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 3802/710,3721/5343?

Given fractions are 3802/710,3721/5343

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 3802/710,3721/5343, numerators are 3802,3721

Denominators are 710,5343

The GCF of 3802,3721 is 1 .

LCM of 710,5343 is 3793530.

The greatest common factor of 3802/710,3721/5343 = [GCF of 3802,3721]/[LCM of 710,5343]= 1/3793530

Therefore, the GCF of 3802/710,3721/5343 is 1/3793530.

Greatest Common Factor of 3802,3721

To find the highest common factor of 3802,3721, we have to find the factors of both numbers and list the highest common factor.

The factors of 3802 are 1, 2, 1901, 3802

The factors of 3721 are 1, 61, 3721

The HCF of 3802,3721 is 1.

Lets's calculate GCF of 3802,3721

Greatest Common Factor (GCF) of 3802,3721 By Common Division

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

Greatest Common Factor of 3802,3721 By Matching Biggest Common Factor Method

Greatest Common Factor of 3802,3721 By Matching Biggest Common Factor Method

Now, list down the factors of 3802

:

1,2,1901,3802

Now, list down the factors of 3721

:

1,61,3721

Greatest Common Factor

We found the factors 3802,3721 . The biggest common factor number is the GCF number.
So the greatest common factor 3802,3721 is 1.

Lets's calculate LCM of 710,5343

Lowest Common Multiple of 710,5343 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3793530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3793530

Therefore, the GCF of Fractions 3802/710,3721/5343 is 1/3793530

Least Common Multiple of 710,5343 with GCF Formula

Least Common Multiple of 710,5343 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 710,5343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,5343) = 1

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

GCF(710,5343) x common factors =1 x 1 = 1

LCM(710,5343) = ( 710 × 5343 ) / 1

LCM(710,5343) = 3793530 / 1

LCM(710,5343) = 3793530


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FAQs on GCF of Fractions of 3802/710, 3721/5343

1. What is the HCF of 3802,3721?

The HCF of 3802,3721 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 3802/710, 3721/5343?

Answer: GCF of Numerators as per given numbers 3802/710, 3721/5343 is

GCF of Numerators i.e. for 3802,3721 is 1

LCM of denominators i.e. for 710,5343 is 3793530.

Thus, GCF of Fractions is 1/3793530.Finally, GCF of Fractions for 3802/710, 3721/5343 is 1/3793530.