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GCF of 4154/196, 1325/922

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 4154/196, 1325/922 i.e 1/90356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4154/196, 1325/922.

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 4154/196,1325/922?

Given fractions are 4154/196,1325/922

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 4154/196,1325/922, numerators are 4154,1325

Denominators are 196,922

The GCF of 4154,1325 is 1 .

LCM of 196,922 is 90356.

The greatest common factor of 4154/196,1325/922 = [GCF of 4154,1325]/[LCM of 196,922]= 1/90356

Therefore, the GCF of 4154/196,1325/922 is 1/90356.

Greatest Common Factor of 4154,1325

To find the highest common factor of 4154,1325, we have to find the factors of both numbers and list the highest common factor.

The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154

The factors of 1325 are 1, 5, 25, 53, 265, 1325

The HCF of 4154,1325 is 1.

Lets's calculate GCF of 4154,1325

Greatest Common Factor (GCF) of 4154,1325 By Common Division

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

Greatest Common Factor of 4154,1325 By Matching Biggest Common Factor Method

Greatest Common Factor of 4154,1325 By Matching Biggest Common Factor Method

Now, list down the factors of 4154

:

1,2,31,62,67,134,2077,4154

Now, list down the factors of 1325

:

1,5,25,53,265,1325

Greatest Common Factor

We found the factors 4154,1325 . The biggest common factor number is the GCF number.
So the greatest common factor 4154,1325 is 1.

Lets's calculate LCM of 196,922

Lowest Common Multiple of 196,922 using Common Division

2 196, 922
98, 461

∴ So the LCM of the given numbers is 2 x 98 x 461 = 90356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90356

Therefore, the GCF of Fractions 4154/196,1325/922 is 1/90356

Least Common Multiple of 196,922 with GCF Formula

Least Common Multiple of 196,922 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 196,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,922) = 2

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

GCF(196,922) x common factors =2 x 1 = 2

LCM(196,922) = ( 196 × 922 ) / 2

LCM(196,922) = 180712 / 2

LCM(196,922) = 90356


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FAQs on GCF of Fractions of 4154/196, 1325/922

1. What is the HCF of 4154,1325?

The HCF of 4154,1325 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 4154/196, 1325/922?

Answer: GCF of Numerators as per given numbers 4154/196, 1325/922 is

GCF of Numerators i.e. for 4154,1325 is 1

LCM of denominators i.e. for 196,922 is 90356.

Thus, GCF of Fractions is 1/90356.Finally, GCF of Fractions for 4154/196, 1325/922 is 1/90356.