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GCF of 4943/460, 7207/4158

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 4943/460, 7207/4158 i.e 1/956340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4943/460, 7207/4158.

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 4943/460,7207/4158?

Given fractions are 4943/460,7207/4158

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 4943/460,7207/4158, numerators are 4943,7207

Denominators are 460,4158

The GCF of 4943,7207 is 1 .

LCM of 460,4158 is 956340.

The greatest common factor of 4943/460,7207/4158 = [GCF of 4943,7207]/[LCM of 460,4158]= 1/956340

Therefore, the GCF of 4943/460,7207/4158 is 1/956340.

Greatest Common Factor of 4943,7207

To find the highest common factor of 4943,7207, we have to find the factors of both numbers and list the highest common factor.

The factors of 4943 are 1, 4943

The factors of 7207 are 1, 7207

The HCF of 4943,7207 is 1.

Lets's calculate GCF of 4943,7207

Greatest Common Factor (GCF) of 4943,7207 By Common Division

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

Greatest Common Factor of 4943,7207 By Matching Biggest Common Factor Method

Greatest Common Factor of 4943,7207 By Matching Biggest Common Factor Method

Now, list down the factors of 4943

:

1,4943

Now, list down the factors of 7207

:

1,7207

Greatest Common Factor

We found the factors 4943,7207 . The biggest common factor number is the GCF number.
So the greatest common factor 4943,7207 is 1.

Lets's calculate LCM of 460,4158

Lowest Common Multiple of 460,4158 using Common Division

2 460, 4158
230, 2079

∴ So the LCM of the given numbers is 2 x 230 x 2079 = 956340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956340

Therefore, the GCF of Fractions 4943/460,7207/4158 is 1/956340

Least Common Multiple of 460,4158 with GCF Formula

Least Common Multiple of 460,4158 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 460,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,4158) = 2

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

GCF(460,4158) x common factors =2 x 1 = 2

LCM(460,4158) = ( 460 × 4158 ) / 2

LCM(460,4158) = 1912680 / 2

LCM(460,4158) = 956340


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FAQs on GCF of Fractions of 4943/460, 7207/4158

1. What is the HCF of 4943,7207?

The HCF of 4943,7207 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 4943/460, 7207/4158?

Answer: GCF of Numerators as per given numbers 4943/460, 7207/4158 is

GCF of Numerators i.e. for 4943,7207 is 1

LCM of denominators i.e. for 460,4158 is 956340.

Thus, GCF of Fractions is 1/956340.Finally, GCF of Fractions for 4943/460, 7207/4158 is 1/956340.