How to Find GCF of 628/487, 8347/802?

GCF of 628/487, 8347/802

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 628/487, 8347/802 i.e 1/390574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/487, 8347/802.

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 628/487,8347/802?

Given fractions are 628/487,8347/802

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 628/487,8347/802, numerators are 628,8347

Denominators are 487,802

The GCF of 628,8347 is 1 .

LCM of 487,802 is 390574.

The greatest common factor of 628/487,8347/802 = [GCF of 628,8347]/[LCM of 487,802]= 1/390574

Therefore, the GCF of 628/487,8347/802 is 1/390574.

Greatest Common Factor of 628,8347

To find the highest common factor of 628,8347, we have to find the factors of both numbers and list the highest common factor.

The factors of 628 are 1, 2, 4, 157, 314, 628

The factors of 8347 are 1, 17, 491, 8347

The HCF of 628,8347 is 1.

Lets's calculate GCF of 628,8347

Greatest Common Factor (GCF) of 628,8347 By Common Division

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

Greatest Common Factor of 628,8347 By Matching Biggest Common Factor Method

Now, list down the factors of 628

1,2,4,157,314,628

Now, list down the factors of 8347

1,17,491,8347

Greatest Common Factor

We found the factors 628,8347 . The biggest common factor number is the GCF number.
So the greatest common factor 628,8347 is 1.

Lets's calculate LCM of 487,802

Lowest Common Multiple of 487,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 390574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390574

Therefore, the GCF of Fractions 628/487,8347/802 is 1/390574

Least Common Multiple of 487,802 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 487,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,802) = 1

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

GCF(487,802) x common factors =1 x 1 = 1

LCM(487,802) = ( 487 × 802 ) / 1

LCM(487,802) = 390574 / 1

LCM(487,802) = 390574

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FAQs on GCF of Fractions of 628/487, 8347/802

1. What is the HCF of 628,8347?

The HCF of 628,8347 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 628/487, 8347/802?

Answer: GCF of Numerators as per given numbers 628/487, 8347/802 is

GCF of Numerators i.e. for 628,8347 is 1

LCM of denominators i.e. for 487,802 is 390574.

Thus, GCF of Fractions is 1/390574.Finally, GCF of Fractions for 628/487, 8347/802 is 1/390574.