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GCF of 565/314, 8684/148

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 565/314, 8684/148 i.e 1/23236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/314, 8684/148.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 565/314,8684/148?

Given fractions are 565/314,8684/148

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 565/314,8684/148, numerators are 565,8684

Denominators are 314,148

The GCF of 565,8684 is 1 .

LCM of 314,148 is 23236.

The greatest common factor of 565/314,8684/148 = [GCF of 565,8684]/[LCM of 314,148]= 1/23236

Therefore, the GCF of 565/314,8684/148 is 1/23236.

Greatest Common Factor of 565,8684

To find the highest common factor of 565,8684, we have to find the factors of both numbers and list the highest common factor.

The factors of 565 are 1, 5, 113, 565

The factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684

The HCF of 565,8684 is 1.

Lets's calculate GCF of 565,8684

Greatest Common Factor (GCF) of 565,8684 By Common Division

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

Greatest Common Factor of 565,8684 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,8684 By Matching Biggest Common Factor Method

Now, list down the factors of 565

:

1,5,113,565

Now, list down the factors of 8684

:

1,2,4,13,26,52,167,334,668,2171,4342,8684

Greatest Common Factor

We found the factors 565,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 565,8684 is 1.

Lets's calculate LCM of 314,148

Lowest Common Multiple of 314,148 using Common Division

2 314, 148
157, 74

∴ So the LCM of the given numbers is 2 x 157 x 74 = 23236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23236

Therefore, the GCF of Fractions 565/314,8684/148 is 1/23236

Least Common Multiple of 314,148 with GCF Formula

Least Common Multiple of 314,148 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 314,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,148) = 2

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

GCF(314,148) x common factors =2 x 1 = 2

LCM(314,148) = ( 314 × 148 ) / 2

LCM(314,148) = 46472 / 2

LCM(314,148) = 23236


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FAQs on GCF of Fractions of 565/314, 8684/148

1. What is the HCF of 565,8684?

The HCF of 565,8684 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 565/314, 8684/148?

Answer: GCF of Numerators as per given numbers 565/314, 8684/148 is

GCF of Numerators i.e. for 565,8684 is 1

LCM of denominators i.e. for 314,148 is 23236.

Thus, GCF of Fractions is 1/23236.Finally, GCF of Fractions for 565/314, 8684/148 is 1/23236.