How to Find GCF of 179/672, 7120/354?

GCF of 179/672, 7120/354

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 179/672, 7120/354 i.e 1/39648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/672, 7120/354.

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 179/672,7120/354?

Given fractions are 179/672,7120/354

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 179/672,7120/354, numerators are 179,7120

Denominators are 672,354

The GCF of 179,7120 is 1 .

LCM of 672,354 is 39648.

The greatest common factor of 179/672,7120/354 = [GCF of 179,7120]/[LCM of 672,354]= 1/39648

Therefore, the GCF of 179/672,7120/354 is 1/39648.

Greatest Common Factor of 179,7120

To find the highest common factor of 179,7120, we have to find the factors of both numbers and list the highest common factor.

The factors of 179 are 1, 179

The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120

The HCF of 179,7120 is 1.

Lets's calculate GCF of 179,7120

Greatest Common Factor (GCF) of 179,7120 By Common Division

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

Greatest Common Factor of 179,7120 By Matching Biggest Common Factor Method

Now, list down the factors of 179

1,179

Now, list down the factors of 7120

1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120

Greatest Common Factor

We found the factors 179,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 179,7120 is 1.

Lets's calculate LCM of 672,354

Lowest Common Multiple of 672,354 using Common Division

2	672, 354
3	336, 177
	112, 59

∴ So the LCM of the given numbers is 2 x 3 x 112 x 59 = 39648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39648

Therefore, the GCF of Fractions 179/672,7120/354 is 1/39648

Least Common Multiple of 672,354 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 672,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,354) = 6

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

GCF(672,354) x common factors =6 x 1 = 6

LCM(672,354) = ( 672 × 354 ) / 6

LCM(672,354) = 237888 / 6

LCM(672,354) = 39648

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FAQs on GCF of Fractions of 179/672, 7120/354

1. What is the HCF of 179,7120?

The HCF of 179,7120 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 179/672, 7120/354?

Answer: GCF of Numerators as per given numbers 179/672, 7120/354 is

GCF of Numerators i.e. for 179,7120 is 1

LCM of denominators i.e. for 672,354 is 39648.

Thus, GCF of Fractions is 1/39648.Finally, GCF of Fractions for 179/672, 7120/354 is 1/39648.