How to Find GCF of 6276/280, 5723/436?

GCF of 6276/280, 5723/436

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 6276/280, 5723/436 i.e 1/30520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6276/280, 5723/436.

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 6276/280,5723/436?

Given fractions are 6276/280,5723/436

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 6276/280,5723/436, numerators are 6276,5723

Denominators are 280,436

The GCF of 6276,5723 is 1 .

LCM of 280,436 is 30520.

The greatest common factor of 6276/280,5723/436 = [GCF of 6276,5723]/[LCM of 280,436]= 1/30520

Therefore, the GCF of 6276/280,5723/436 is 1/30520.

Greatest Common Factor of 6276,5723

To find the highest common factor of 6276,5723, we have to find the factors of both numbers and list the highest common factor.

The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276

The factors of 5723 are 1, 59, 97, 5723

The HCF of 6276,5723 is 1.

Lets's calculate GCF of 6276,5723

Greatest Common Factor (GCF) of 6276,5723 By Common Division

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

Greatest Common Factor of 6276,5723 By Matching Biggest Common Factor Method

Now, list down the factors of 6276

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Now, list down the factors of 5723

1,59,97,5723

Greatest Common Factor

We found the factors 6276,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,5723 is 1.

Lets's calculate LCM of 280,436

Lowest Common Multiple of 280,436 using Common Division

2	280, 436
2	140, 218
	70, 109

∴ So the LCM of the given numbers is 2 x 2 x 70 x 109 = 30520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30520

Therefore, the GCF of Fractions 6276/280,5723/436 is 1/30520

Least Common Multiple of 280,436 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 280,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,436) = 4

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

GCF(280,436) x common factors =4 x 1 = 4

LCM(280,436) = ( 280 × 436 ) / 4

LCM(280,436) = 122080 / 4

LCM(280,436) = 30520

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FAQs on GCF of Fractions of 6276/280, 5723/436

1. What is the HCF of 6276,5723?

The HCF of 6276,5723 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 6276/280, 5723/436?

Answer: GCF of Numerators as per given numbers 6276/280, 5723/436 is

GCF of Numerators i.e. for 6276,5723 is 1

LCM of denominators i.e. for 280,436 is 30520.

Thus, GCF of Fractions is 1/30520.Finally, GCF of Fractions for 6276/280, 5723/436 is 1/30520.