How to Find GCF of 1013/548, 8915/4010?

GCF of 1013/548, 8915/4010

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 1013/548, 8915/4010 i.e 1/1098740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1013/548, 8915/4010.

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 1013/548,8915/4010?

Given fractions are 1013/548,8915/4010

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 1013/548,8915/4010, numerators are 1013,8915

Denominators are 548,4010

The GCF of 1013,8915 is 1 .

LCM of 548,4010 is 1098740.

The greatest common factor of 1013/548,8915/4010 = [GCF of 1013,8915]/[LCM of 548,4010]= 1/1098740

Therefore, the GCF of 1013/548,8915/4010 is 1/1098740.

Greatest Common Factor of 1013,8915

To find the highest common factor of 1013,8915, we have to find the factors of both numbers and list the highest common factor.

The factors of 1013 are 1, 1013

The factors of 8915 are 1, 5, 1783, 8915

The HCF of 1013,8915 is 1.

Lets's calculate GCF of 1013,8915

Greatest Common Factor (GCF) of 1013,8915 By Common Division

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

Greatest Common Factor of 1013,8915 By Matching Biggest Common Factor Method

Now, list down the factors of 1013

1,1013

Now, list down the factors of 8915

1,5,1783,8915

Greatest Common Factor

We found the factors 1013,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,8915 is 1.

Lets's calculate LCM of 548,4010

Lowest Common Multiple of 548,4010 using Common Division

2	548, 4010
	274, 2005

∴ So the LCM of the given numbers is 2 x 274 x 2005 = 1098740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098740

Therefore, the GCF of Fractions 1013/548,8915/4010 is 1/1098740

Least Common Multiple of 548,4010 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 548,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,4010) = 2

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

GCF(548,4010) x common factors =2 x 1 = 2

LCM(548,4010) = ( 548 × 4010 ) / 2

LCM(548,4010) = 2197480 / 2

LCM(548,4010) = 1098740

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FAQs on GCF of Fractions of 1013/548, 8915/4010

1. What is the HCF of 1013,8915?

The HCF of 1013,8915 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 1013/548, 8915/4010?

Answer: GCF of Numerators as per given numbers 1013/548, 8915/4010 is

GCF of Numerators i.e. for 1013,8915 is 1

LCM of denominators i.e. for 548,4010 is 1098740.

Thus, GCF of Fractions is 1/1098740.Finally, GCF of Fractions for 1013/548, 8915/4010 is 1/1098740.