How to Find GCF of 652/341, 440/374?

GCF of 652/341, 440/374

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 652/341, 440/374 i.e 4/11594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/341, 440/374.

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 652/341,440/374?

Given fractions are 652/341,440/374

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 652/341,440/374, numerators are 652,440

Denominators are 341,374

The GCF of 652,440 is 4 .

LCM of 341,374 is 11594.

The greatest common factor of 652/341,440/374 = [GCF of 652,440]/[LCM of 341,374]= 4/11594

Therefore, the GCF of 652/341,440/374 is 4/11594.

Greatest Common Factor of 652,440

To find the highest common factor of 652,440, we have to find the factors of both numbers and list the highest common factor.

The factors of 652 are 1, 2, 4, 163, 326, 652

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The HCF of 652,440 is 4.

Lets's calculate GCF of 652,440

Greatest Common Factor (GCF) of 652,440 By Common Division

2	652, 440
2	326, 220
	163, 110

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 652,440 By Matching Biggest Common Factor Method

Now, list down the factors of 652

1,2,4,163,326,652

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 652,440 . The biggest common factor number is the GCF number.
So the greatest common factor 652,440 is 4.

Lets's calculate LCM of 341,374

Lowest Common Multiple of 341,374 using Common Division

11	341, 374
	31, 34

∴ So the LCM of the given numbers is 11 x 31 x 34 = 11594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11594

Therefore, the GCF of Fractions 652/341,440/374 is 4/11594

Least Common Multiple of 341,374 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 341,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,374) = 11

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

GCF(341,374) x common factors =11 x 1 = 11

LCM(341,374) = ( 341 × 374 ) / 11

LCM(341,374) = 127534 / 11

LCM(341,374) = 11594

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FAQs on GCF of Fractions of 652/341, 440/374

1. What is the HCF of 652,440?

The HCF of 652,440 is 4

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 652/341, 440/374?

Answer: GCF of Numerators as per given numbers 652/341, 440/374 is

GCF of Numerators i.e. for 652,440 is 4

LCM of denominators i.e. for 341,374 is 11594.

Thus, GCF of Fractions is 4/11594.Finally, GCF of Fractions for 652/341, 440/374 is 4/11594.