How to Find GCF of 3617/624, 6275/8056?

GCF of 3617/624, 6275/8056

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 3617/624, 6275/8056 i.e 1/628368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3617/624, 6275/8056.

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 3617/624,6275/8056?

Given fractions are 3617/624,6275/8056

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 3617/624,6275/8056, numerators are 3617,6275

Denominators are 624,8056

The GCF of 3617,6275 is 1 .

LCM of 624,8056 is 628368.

The greatest common factor of 3617/624,6275/8056 = [GCF of 3617,6275]/[LCM of 624,8056]= 1/628368

Therefore, the GCF of 3617/624,6275/8056 is 1/628368.

Greatest Common Factor of 3617,6275

To find the highest common factor of 3617,6275, we have to find the factors of both numbers and list the highest common factor.

The factors of 3617 are 1, 3617

The factors of 6275 are 1, 5, 25, 251, 1255, 6275

The HCF of 3617,6275 is 1.

Lets's calculate GCF of 3617,6275

Greatest Common Factor (GCF) of 3617,6275 By Common Division

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

Greatest Common Factor of 3617,6275 By Matching Biggest Common Factor Method

Now, list down the factors of 3617

1,3617

Now, list down the factors of 6275

1,5,25,251,1255,6275

Greatest Common Factor

We found the factors 3617,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 3617,6275 is 1.

Lets's calculate LCM of 624,8056

Lowest Common Multiple of 624,8056 using Common Division

2	624, 8056
2	312, 4028
2	156, 2014
	78, 1007

∴ So the LCM of the given numbers is 2 x 2 x 2 x 78 x 1007 = 628368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628368

Therefore, the GCF of Fractions 3617/624,6275/8056 is 1/628368

Least Common Multiple of 624,8056 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 624,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,8056) = 8

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

GCF(624,8056) x common factors =8 x 1 = 8

LCM(624,8056) = ( 624 × 8056 ) / 8

LCM(624,8056) = 5026944 / 8

LCM(624,8056) = 628368

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FAQs on GCF of Fractions of 3617/624, 6275/8056

1. What is the HCF of 3617,6275?

The HCF of 3617,6275 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 3617/624, 6275/8056?

Answer: GCF of Numerators as per given numbers 3617/624, 6275/8056 is

GCF of Numerators i.e. for 3617,6275 is 1

LCM of denominators i.e. for 624,8056 is 628368.

Thus, GCF of Fractions is 1/628368.Finally, GCF of Fractions for 3617/624, 6275/8056 is 1/628368.