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GCF of 176/97, 172/922

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 176/97, 172/922 i.e 4/89434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/97, 172/922.

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 176/97,172/922?

Given fractions are 176/97,172/922

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 176/97,172/922, numerators are 176,172

Denominators are 97,922

The GCF of 176,172 is 4 .

LCM of 97,922 is 89434.

The greatest common factor of 176/97,172/922 = [GCF of 176,172]/[LCM of 97,922]= 4/89434

Therefore, the GCF of 176/97,172/922 is 4/89434.

Greatest Common Factor of 176,172

To find the highest common factor of 176,172, we have to find the factors of both numbers and list the highest common factor.

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The factors of 172 are 1, 2, 4, 43, 86, 172

The HCF of 176,172 is 4.

Lets's calculate GCF of 176,172

Greatest Common Factor (GCF) of 176,172 By Common Division

2 176, 172
2 88, 86
44, 43

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 176,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,172 By Matching Biggest Common Factor Method

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Now, list down the factors of 172

:

1,2,4,43,86,172

Greatest Common Factor

We found the factors 176,172 . The biggest common factor number is the GCF number.
So the greatest common factor 176,172 is 4.

Lets's calculate LCM of 97,922

Lowest Common Multiple of 97,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 89434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/89434

Therefore, the GCF of Fractions 176/97,172/922 is 4/89434

Least Common Multiple of 97,922 with GCF Formula

Least Common Multiple of 97,922 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 97,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,922) = 1

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

GCF(97,922) x common factors =1 x 1 = 1

LCM(97,922) = ( 97 × 922 ) / 1

LCM(97,922) = 89434 / 1

LCM(97,922) = 89434


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FAQs on GCF of Fractions of 176/97, 172/922

1. What is the HCF of 176,172?

The HCF of 176,172 is 4

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 176/97, 172/922?

Answer: GCF of Numerators as per given numbers 176/97, 172/922 is

GCF of Numerators i.e. for 176,172 is 4

LCM of denominators i.e. for 97,922 is 89434.

Thus, GCF of Fractions is 4/89434.Finally, GCF of Fractions for 176/97, 172/922 is 4/89434.