How to Find GCF of 7352/732, 1301/5588?

GCF of 7352/732, 1301/5588

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 7352/732, 1301/5588 i.e 1/1022604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7352/732, 1301/5588.

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 7352/732,1301/5588?

Given fractions are 7352/732,1301/5588

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 7352/732,1301/5588, numerators are 7352,1301

Denominators are 732,5588

The GCF of 7352,1301 is 1 .

LCM of 732,5588 is 1022604.

The greatest common factor of 7352/732,1301/5588 = [GCF of 7352,1301]/[LCM of 732,5588]= 1/1022604

Therefore, the GCF of 7352/732,1301/5588 is 1/1022604.

Greatest Common Factor of 7352,1301

To find the highest common factor of 7352,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352

The factors of 1301 are 1, 1301

The HCF of 7352,1301 is 1.

Lets's calculate GCF of 7352,1301

Greatest Common Factor (GCF) of 7352,1301 By Common Division

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

Greatest Common Factor of 7352,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 7352

1,2,4,8,919,1838,3676,7352

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 7352,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 7352,1301 is 1.

Lets's calculate LCM of 732,5588

Lowest Common Multiple of 732,5588 using Common Division

2	732, 5588
2	366, 2794
	183, 1397

∴ So the LCM of the given numbers is 2 x 2 x 183 x 1397 = 1022604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1022604

Therefore, the GCF of Fractions 7352/732,1301/5588 is 1/1022604

Least Common Multiple of 732,5588 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 732,5588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,5588) = 4

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

GCF(732,5588) x common factors =4 x 1 = 4

LCM(732,5588) = ( 732 × 5588 ) / 4

LCM(732,5588) = 4090416 / 4

LCM(732,5588) = 1022604

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FAQs on GCF of Fractions of 7352/732, 1301/5588

1. What is the HCF of 7352,1301?

The HCF of 7352,1301 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 7352/732, 1301/5588?

Answer: GCF of Numerators as per given numbers 7352/732, 1301/5588 is

GCF of Numerators i.e. for 7352,1301 is 1

LCM of denominators i.e. for 732,5588 is 1022604.

Thus, GCF of Fractions is 1/1022604.Finally, GCF of Fractions for 7352/732, 1301/5588 is 1/1022604.