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GCF of 5602/487, 5371/1238

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 5602/487, 5371/1238 i.e 1/602906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5602/487, 5371/1238.

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 5602/487,5371/1238?

Given fractions are 5602/487,5371/1238

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 5602/487,5371/1238, numerators are 5602,5371

Denominators are 487,1238

The GCF of 5602,5371 is 1 .

LCM of 487,1238 is 602906.

The greatest common factor of 5602/487,5371/1238 = [GCF of 5602,5371]/[LCM of 487,1238]= 1/602906

Therefore, the GCF of 5602/487,5371/1238 is 1/602906.

Greatest Common Factor of 5602,5371

To find the highest common factor of 5602,5371, we have to find the factors of both numbers and list the highest common factor.

The factors of 5602 are 1, 2, 2801, 5602

The factors of 5371 are 1, 41, 131, 5371

The HCF of 5602,5371 is 1.

Lets's calculate GCF of 5602,5371

Greatest Common Factor (GCF) of 5602,5371 By Common Division

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

Greatest Common Factor of 5602,5371 By Matching Biggest Common Factor Method

Greatest Common Factor of 5602,5371 By Matching Biggest Common Factor Method

Now, list down the factors of 5602

:

1,2,2801,5602

Now, list down the factors of 5371

:

1,41,131,5371

Greatest Common Factor

We found the factors 5602,5371 . The biggest common factor number is the GCF number.
So the greatest common factor 5602,5371 is 1.


Lets's calculate LCM of 487,1238

Lowest Common Multiple of 487,1238 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 602906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602906

Therefore, the GCF of Fractions 5602/487,5371/1238 is 1/602906

Least Common Multiple of 487,1238 with GCF Formula

Least Common Multiple of 487,1238 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 487,1238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,1238) = 1

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

GCF(487,1238) x common factors =1 x 1 = 1

LCM(487,1238) = ( 487 × 1238 ) / 1

LCM(487,1238) = 602906 / 1

LCM(487,1238) = 602906


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5602/487, 5371/1238

1. What is the HCF of 5602,5371?

The HCF of 5602,5371 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 5602/487, 5371/1238?

Answer: GCF of Numerators as per given numbers 5602/487, 5371/1238 is

GCF of Numerators i.e. for 5602,5371 is 1

LCM of denominators i.e. for 487,1238 is 602906.

Thus, GCF of Fractions is 1/602906.Finally, GCF of Fractions for 5602/487, 5371/1238 is 1/602906.