How to Find GCF of 980/174, 3232/172?

GCF of 980/174, 3232/172

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 980/174, 3232/172 i.e 4/14964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/174, 3232/172.

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 980/174,3232/172?

Given fractions are 980/174,3232/172

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 980/174,3232/172, numerators are 980,3232

Denominators are 174,172

The GCF of 980,3232 is 4 .

LCM of 174,172 is 14964.

The greatest common factor of 980/174,3232/172 = [GCF of 980,3232]/[LCM of 174,172]= 4/14964

Therefore, the GCF of 980/174,3232/172 is 4/14964.

Greatest Common Factor of 980,3232

To find the highest common factor of 980,3232, we have to find the factors of both numbers and list the highest common factor.

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232

The HCF of 980,3232 is 4.

Lets's calculate GCF of 980,3232

Greatest Common Factor (GCF) of 980,3232 By Common Division

2	980, 3232
2	490, 1616
	245, 808

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

Greatest Common Factor of 980,3232 By Matching Biggest Common Factor Method

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Now, list down the factors of 3232

1,2,4,8,16,32,101,202,404,808,1616,3232

Greatest Common Factor

We found the factors 980,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 980,3232 is 4.

Lets's calculate LCM of 174,172

Lowest Common Multiple of 174,172 using Common Division

2	174, 172
	87, 86

∴ So the LCM of the given numbers is 2 x 87 x 86 = 14964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14964

Therefore, the GCF of Fractions 980/174,3232/172 is 4/14964

Least Common Multiple of 174,172 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 174,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,172) = 2

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

GCF(174,172) x common factors =2 x 1 = 2

LCM(174,172) = ( 174 × 172 ) / 2

LCM(174,172) = 29928 / 2

LCM(174,172) = 14964

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FAQs on GCF of Fractions of 980/174, 3232/172

1. What is the HCF of 980,3232?

The HCF of 980,3232 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 980/174, 3232/172?

Answer: GCF of Numerators as per given numbers 980/174, 3232/172 is

GCF of Numerators i.e. for 980,3232 is 4

LCM of denominators i.e. for 174,172 is 14964.

Thus, GCF of Fractions is 4/14964.Finally, GCF of Fractions for 980/174, 3232/172 is 4/14964.