How to Find GCF of 538/995, 917/104, 627/143?

GCF of 538/995, 917/104, 627/143

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 538/995, 917/104, 627/143 i.e 1/1138280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 538/995, 917/104, 627/143.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 538/995,917/104,627/143?

Given fractions are 538/995,917/104,627/143

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 538/995,917/104,627/143, numerators are 538,917,627

Denominators are 995,104,143

The GCF of 538,917,627 is 1 .

LCM of 995,104,143 is 1138280.

The greatest common factor of 538/995,917/104,627/143 = [GCF of 538,917,627]/[LCM of 995,104,143]= 1/1138280

Therefore, the GCF of 538/995,917/104,627/143 is 1/1138280.

Greatest Common Factor of 538,917,627

To find the highest common factor of 538,917,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 538 are 1, 2, 269, 538

The factors of 917 are 1, 7, 131, 917

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 538,917,627 is 1.

Lets's calculate GCF of 538,917,627

Greatest Common Factor (GCF) of 538,917,627 By Common Division

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

Greatest Common Factor of 538,917,627 By Matching Biggest Common Factor Method

Now, list down the factors of 538

1,2,269,538

Now, list down the factors of 917

1,7,131,917

Now, list down the factors of 627

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 538,917,627 . The biggest common factor number is the GCF number.
So the greatest common factor 538,917,627 is 1.

Lets's calculate LCM of 995,104,143

Lowest Common Multiple of 995,104,143 using Common Division

13	995, 104, 143
	995, 8, 11

∴ So the LCM of the given numbers is 13 x 995 x 8 x 11 = 1138280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1138280

Therefore, the GCF of Fractions 538/995,917/104,627/143 is 1/1138280

Least Common Multiple of 995,104,143 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 995,104,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,104,143) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(995,104,143) x common factors =1 x 13 = 13

LCM(995,104,143) = ( 995 × 104 × 143 ) / 13

LCM(995,104,143) = 14797640 / 13

LCM(995,104,143) = 1138280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 538/995, 917/104, 627/143

1. What is the HCF of 538,917,627?

The HCF of 538,917,627 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 538/995, 917/104, 627/143?

Answer: GCF of Numerators as per given numbers 538/995, 917/104, 627/143 is

GCF of Numerators i.e. for 538,917,627 is 1

LCM of denominators i.e. for 995,104,143 is 1138280.

Thus, GCF of Fractions is 1/1138280.Finally, GCF of Fractions for 538/995, 917/104, 627/143 is 1/1138280.