How to Find GCF of 13/44, 889/92, 561/274?

GCF of 13/44, 889/92, 561/274

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 13/44, 889/92, 561/274 i.e 1/138644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/44, 889/92, 561/274.

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 13/44,889/92,561/274?

Given fractions are 13/44,889/92,561/274

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 13/44,889/92,561/274, numerators are 13,889,561

Denominators are 44,92,274

The GCF of 13,889,561 is 1 .

LCM of 44,92,274 is 138644.

The greatest common factor of 13/44,889/92,561/274 = [GCF of 13,889,561]/[LCM of 44,92,274]= 1/138644

Therefore, the GCF of 13/44,889/92,561/274 is 1/138644.

Greatest Common Factor of 13,889,561

To find the highest common factor of 13,889,561, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 889 are 1, 7, 127, 889

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The HCF of 13,889,561 is 1.

Lets's calculate GCF of 13,889,561

Greatest Common Factor (GCF) of 13,889,561 By Common Division

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

Greatest Common Factor of 13,889,561 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 889

1,7,127,889

Now, list down the factors of 561

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 13,889,561 . The biggest common factor number is the GCF number.
So the greatest common factor 13,889,561 is 1.

Lets's calculate LCM of 44,92,274

Lowest Common Multiple of 44,92,274 using Common Division

2	44, 92, 274
2	22, 46, 137
	11, 23, 137

∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 137 = 138644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138644

Therefore, the GCF of Fractions 13/44,889/92,561/274 is 1/138644

Least Common Multiple of 44,92,274 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 44,92,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,92,274) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,92,274) x common factors =2 x 4 = 8

LCM(44,92,274) = ( 44 × 92 × 274 ) / 8

LCM(44,92,274) = 1109152 / 8

LCM(44,92,274) = 138644

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FAQs on GCF of Fractions of 13/44, 889/92, 561/274

1. What is the HCF of 13,889,561?

The HCF of 13,889,561 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 13/44, 889/92, 561/274?

Answer: GCF of Numerators as per given numbers 13/44, 889/92, 561/274 is

GCF of Numerators i.e. for 13,889,561 is 1

LCM of denominators i.e. for 44,92,274 is 138644.

Thus, GCF of Fractions is 1/138644.Finally, GCF of Fractions for 13/44, 889/92, 561/274 is 1/138644.