How to Find GCF of 176/557, 280/651?

GCF of 176/557, 280/651

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 176/557, 280/651 i.e 8/362607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/557, 280/651.

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 176/557,280/651?

Given fractions are 176/557,280/651

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 176/557,280/651, numerators are 176,280

Denominators are 557,651

The GCF of 176,280 is 8 .

LCM of 557,651 is 362607.

The greatest common factor of 176/557,280/651 = [GCF of 176,280]/[LCM of 557,651]= 8/362607

Therefore, the GCF of 176/557,280/651 is 8/362607.

Greatest Common Factor of 176,280

To find the highest common factor of 176,280, 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 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 176,280 is 8.

Lets's calculate GCF of 176,280

Greatest Common Factor (GCF) of 176,280 By Common Division

2	176, 280
2	88, 140
2	44, 70
	22, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 176,280 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 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 176,280 . The biggest common factor number is the GCF number.
So the greatest common factor 176,280 is 8.

Lets's calculate LCM of 557,651

Lowest Common Multiple of 557,651 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 362607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/362607

Therefore, the GCF of Fractions 176/557,280/651 is 8/362607

Least Common Multiple of 557,651 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 557,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,651) = 1

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

GCF(557,651) x common factors =1 x 1 = 1

LCM(557,651) = ( 557 × 651 ) / 1

LCM(557,651) = 362607 / 1

LCM(557,651) = 362607

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FAQs on GCF of Fractions of 176/557, 280/651

1. What is the HCF of 176,280?

The HCF of 176,280 is 8

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 176/557, 280/651?

Answer: GCF of Numerators as per given numbers 176/557, 280/651 is

GCF of Numerators i.e. for 176,280 is 8

LCM of denominators i.e. for 557,651 is 362607.

Thus, GCF of Fractions is 8/362607.Finally, GCF of Fractions for 176/557, 280/651 is 8/362607.