How to Find GCF of 464/752, 3397/692?

GCF of 464/752, 3397/692

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 464/752, 3397/692 i.e 1/130096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 464/752, 3397/692.

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 464/752,3397/692?

Given fractions are 464/752,3397/692

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 464/752,3397/692, numerators are 464,3397

Denominators are 752,692

The GCF of 464,3397 is 1 .

LCM of 752,692 is 130096.

The greatest common factor of 464/752,3397/692 = [GCF of 464,3397]/[LCM of 752,692]= 1/130096

Therefore, the GCF of 464/752,3397/692 is 1/130096.

Greatest Common Factor of 464,3397

To find the highest common factor of 464,3397, we have to find the factors of both numbers and list the highest common factor.

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

The factors of 3397 are 1, 43, 79, 3397

The HCF of 464,3397 is 1.

Lets's calculate GCF of 464,3397

Greatest Common Factor (GCF) of 464,3397 By Common Division

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

Greatest Common Factor of 464,3397 By Matching Biggest Common Factor Method

Now, list down the factors of 464

1,2,4,8,16,29,58,116,232,464

Now, list down the factors of 3397

1,43,79,3397

Greatest Common Factor

We found the factors 464,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 464,3397 is 1.

Lets's calculate LCM of 752,692

Lowest Common Multiple of 752,692 using Common Division

2	752, 692
2	376, 346
	188, 173

∴ So the LCM of the given numbers is 2 x 2 x 188 x 173 = 130096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130096

Therefore, the GCF of Fractions 464/752,3397/692 is 1/130096

Least Common Multiple of 752,692 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 752,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,692) = 4

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

GCF(752,692) x common factors =4 x 1 = 4

LCM(752,692) = ( 752 × 692 ) / 4

LCM(752,692) = 520384 / 4

LCM(752,692) = 130096

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FAQs on GCF of Fractions of 464/752, 3397/692

1. What is the HCF of 464,3397?

The HCF of 464,3397 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 464/752, 3397/692?

Answer: GCF of Numerators as per given numbers 464/752, 3397/692 is

GCF of Numerators i.e. for 464,3397 is 1

LCM of denominators i.e. for 752,692 is 130096.

Thus, GCF of Fractions is 1/130096.Finally, GCF of Fractions for 464/752, 3397/692 is 1/130096.