How to Find GCF of 4492/113, 4427/9725?

GCF of 4492/113, 4427/9725

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 4492/113, 4427/9725 i.e 1/1098925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4492/113, 4427/9725.

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 4492/113,4427/9725?

Given fractions are 4492/113,4427/9725

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 4492/113,4427/9725, numerators are 4492,4427

Denominators are 113,9725

The GCF of 4492,4427 is 1 .

LCM of 113,9725 is 1098925.

The greatest common factor of 4492/113,4427/9725 = [GCF of 4492,4427]/[LCM of 113,9725]= 1/1098925

Therefore, the GCF of 4492/113,4427/9725 is 1/1098925.

Greatest Common Factor of 4492,4427

To find the highest common factor of 4492,4427, we have to find the factors of both numbers and list the highest common factor.

The factors of 4492 are 1, 2, 4, 1123, 2246, 4492

The factors of 4427 are 1, 19, 233, 4427

The HCF of 4492,4427 is 1.

Lets's calculate GCF of 4492,4427

Greatest Common Factor (GCF) of 4492,4427 By Common Division

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

Greatest Common Factor of 4492,4427 By Matching Biggest Common Factor Method

Now, list down the factors of 4492

1,2,4,1123,2246,4492

Now, list down the factors of 4427

1,19,233,4427

Greatest Common Factor

We found the factors 4492,4427 . The biggest common factor number is the GCF number.
So the greatest common factor 4492,4427 is 1.

Lets's calculate LCM of 113,9725

Lowest Common Multiple of 113,9725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1098925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098925

Therefore, the GCF of Fractions 4492/113,4427/9725 is 1/1098925

Least Common Multiple of 113,9725 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 113,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,9725) = 1

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

GCF(113,9725) x common factors =1 x 1 = 1

LCM(113,9725) = ( 113 × 9725 ) / 1

LCM(113,9725) = 1098925 / 1

LCM(113,9725) = 1098925

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FAQs on GCF of Fractions of 4492/113, 4427/9725

1. What is the HCF of 4492,4427?

The HCF of 4492,4427 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 4492/113, 4427/9725?

Answer: GCF of Numerators as per given numbers 4492/113, 4427/9725 is

GCF of Numerators i.e. for 4492,4427 is 1

LCM of denominators i.e. for 113,9725 is 1098925.

Thus, GCF of Fractions is 1/1098925.Finally, GCF of Fractions for 4492/113, 4427/9725 is 1/1098925.