How to Find GCF of 46/52, 69/65, 23/637?

GCF of 46/52, 69/65, 23/637

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 46/52, 69/65, 23/637 i.e 23/12740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/52, 69/65, 23/637.

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 46/52,69/65,23/637?

Given fractions are 46/52,69/65,23/637

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 46/52,69/65,23/637, numerators are 46,69,23

Denominators are 52,65,637

The GCF of 46,69,23 is 23 .

LCM of 52,65,637 is 12740.

The greatest common factor of 46/52,69/65,23/637 = [GCF of 46,69,23]/[LCM of 52,65,637]= 23/12740

Therefore, the GCF of 46/52,69/65,23/637 is 23/12740.

Greatest Common Factor of 46,69,23

To find the highest common factor of 46,69,23, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 69 are 1, 3, 23, 69

The factors of 23 are 1, 23

The HCF of 46,69,23 is 23.

Lets's calculate GCF of 46,69,23

Greatest Common Factor (GCF) of 46,69,23 By Common Division

23	46, 69, 23
	2, 3, 1

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 46,69,23 By Matching Biggest Common Factor Method

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 23

1,23

Greatest Common Factor

We found the factors 46,69,23 . The biggest common factor number is the GCF number.
So the greatest common factor 46,69,23 is 23.

Lets's calculate LCM of 52,65,637

Lowest Common Multiple of 52,65,637 using Common Division

13	52, 65, 637
	4, 5, 49

∴ So the LCM of the given numbers is 13 x 4 x 5 x 49 = 12740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/12740

Therefore, the GCF of Fractions 46/52,69/65,23/637 is 23/12740

Least Common Multiple of 52,65,637 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 52,65,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,65,637) = 13

common factors(in case of two or more numbers have common factors) = 13

GCF(52,65,637) x common factors =13 x 13 = 169

LCM(52,65,637) = ( 52 × 65 × 637 ) / 169

LCM(52,65,637) = 2153060 / 169

LCM(52,65,637) = 12740

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FAQs on GCF of Fractions of 46/52, 69/65, 23/637

1. What is the HCF of 46,69,23?

The HCF of 46,69,23 is 23

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 46/52, 69/65, 23/637?

Answer: GCF of Numerators as per given numbers 46/52, 69/65, 23/637 is

GCF of Numerators i.e. for 46,69,23 is 23

LCM of denominators i.e. for 52,65,637 is 12740.

Thus, GCF of Fractions is 23/12740.Finally, GCF of Fractions for 46/52, 69/65, 23/637 is 23/12740.