How to Find GCF of 880/402, 312/563?

GCF of 880/402, 312/563

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 880/402, 312/563 i.e 8/226326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/402, 312/563.

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 880/402,312/563?

Given fractions are 880/402,312/563

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 880/402,312/563, numerators are 880,312

Denominators are 402,563

The GCF of 880,312 is 8 .

LCM of 402,563 is 226326.

The greatest common factor of 880/402,312/563 = [GCF of 880,312]/[LCM of 402,563]= 8/226326

Therefore, the GCF of 880/402,312/563 is 8/226326.

Greatest Common Factor of 880,312

To find the highest common factor of 880,312, we have to find the factors of both numbers and list the highest common factor.

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

The HCF of 880,312 is 8.

Lets's calculate GCF of 880,312

Greatest Common Factor (GCF) of 880,312 By Common Division

2	880, 312
2	440, 156
2	220, 78
	110, 39

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

Greatest Common Factor of 880,312 By Matching Biggest Common Factor Method

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Now, list down the factors of 312

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 880,312 . The biggest common factor number is the GCF number.
So the greatest common factor 880,312 is 8.

Lets's calculate LCM of 402,563

Lowest Common Multiple of 402,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 226326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/226326

Therefore, the GCF of Fractions 880/402,312/563 is 8/226326

Least Common Multiple of 402,563 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 402,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,563) = 1

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

GCF(402,563) x common factors =1 x 1 = 1

LCM(402,563) = ( 402 × 563 ) / 1

LCM(402,563) = 226326 / 1

LCM(402,563) = 226326

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FAQs on GCF of Fractions of 880/402, 312/563

1. What is the HCF of 880,312?

The HCF of 880,312 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 880/402, 312/563?

Answer: GCF of Numerators as per given numbers 880/402, 312/563 is

GCF of Numerators i.e. for 880,312 is 8

LCM of denominators i.e. for 402,563 is 226326.

Thus, GCF of Fractions is 8/226326.Finally, GCF of Fractions for 880/402, 312/563 is 8/226326.