How to Find GCF of 7534/152, 3522/702?

GCF of 7534/152, 3522/702

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 7534/152, 3522/702 i.e 2/53352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7534/152, 3522/702.

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 7534/152,3522/702?

Given fractions are 7534/152,3522/702

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 7534/152,3522/702, numerators are 7534,3522

Denominators are 152,702

The GCF of 7534,3522 is 2 .

LCM of 152,702 is 53352.

The greatest common factor of 7534/152,3522/702 = [GCF of 7534,3522]/[LCM of 152,702]= 2/53352

Therefore, the GCF of 7534/152,3522/702 is 2/53352.

Greatest Common Factor of 7534,3522

To find the highest common factor of 7534,3522, we have to find the factors of both numbers and list the highest common factor.

The factors of 7534 are 1, 2, 3767, 7534

The factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522

The HCF of 7534,3522 is 2.

Lets's calculate GCF of 7534,3522

Greatest Common Factor (GCF) of 7534,3522 By Common Division

2	7534, 3522
	3767, 1761

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

Greatest Common Factor of 7534,3522 By Matching Biggest Common Factor Method

Now, list down the factors of 7534

1,2,3767,7534

Now, list down the factors of 3522

1,2,3,6,587,1174,1761,3522

Greatest Common Factor

We found the factors 7534,3522 . The biggest common factor number is the GCF number.
So the greatest common factor 7534,3522 is 2.

Lets's calculate LCM of 152,702

Lowest Common Multiple of 152,702 using Common Division

2	152, 702
	76, 351

∴ So the LCM of the given numbers is 2 x 76 x 351 = 53352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53352

Therefore, the GCF of Fractions 7534/152,3522/702 is 2/53352

Least Common Multiple of 152,702 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 152,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,702) = 2

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

GCF(152,702) x common factors =2 x 1 = 2

LCM(152,702) = ( 152 × 702 ) / 2

LCM(152,702) = 106704 / 2

LCM(152,702) = 53352

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FAQs on GCF of Fractions of 7534/152, 3522/702

1. What is the HCF of 7534,3522?

The HCF of 7534,3522 is 2

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 7534/152, 3522/702?

Answer: GCF of Numerators as per given numbers 7534/152, 3522/702 is

GCF of Numerators i.e. for 7534,3522 is 2

LCM of denominators i.e. for 152,702 is 53352.

Thus, GCF of Fractions is 2/53352.Finally, GCF of Fractions for 7534/152, 3522/702 is 2/53352.