How to Find GCF of 76/62, 354/13, 532/975?

GCF of 76/62, 354/13, 532/975

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 76/62, 354/13, 532/975 i.e 2/60450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/62, 354/13, 532/975.

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 76/62,354/13,532/975?

Given fractions are 76/62,354/13,532/975

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 76/62,354/13,532/975, numerators are 76,354,532

Denominators are 62,13,975

The GCF of 76,354,532 is 2 .

LCM of 62,13,975 is 60450.

The greatest common factor of 76/62,354/13,532/975 = [GCF of 76,354,532]/[LCM of 62,13,975]= 2/60450

Therefore, the GCF of 76/62,354/13,532/975 is 2/60450.

Greatest Common Factor of 76,354,532

To find the highest common factor of 76,354,532, we have to find the factors of both numbers and list the highest common factor.

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The HCF of 76,354,532 is 2.

Lets's calculate GCF of 76,354,532

Greatest Common Factor (GCF) of 76,354,532 By Common Division

2	76, 354, 532
	38, 177, 266

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

Greatest Common Factor of 76,354,532 By Matching Biggest Common Factor Method

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 354

1,2,3,6,59,118,177,354

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 76,354,532 . The biggest common factor number is the GCF number.
So the greatest common factor 76,354,532 is 2.

Lets's calculate LCM of 62,13,975

Lowest Common Multiple of 62,13,975 using Common Division

13	62, 13, 975
	62, 1, 75

∴ So the LCM of the given numbers is 13 x 62 x 1 x 75 = 60450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60450

Therefore, the GCF of Fractions 76/62,354/13,532/975 is 2/60450

Least Common Multiple of 62,13,975 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 62,13,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,13,975) = 1

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

GCF(62,13,975) x common factors =1 x 13 = 13

LCM(62,13,975) = ( 62 × 13 × 975 ) / 13

LCM(62,13,975) = 785850 / 13

LCM(62,13,975) = 60450

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FAQs on GCF of Fractions of 76/62, 354/13, 532/975

1. What is the HCF of 76,354,532?

The HCF of 76,354,532 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 76/62, 354/13, 532/975?

Answer: GCF of Numerators as per given numbers 76/62, 354/13, 532/975 is

GCF of Numerators i.e. for 76,354,532 is 2

LCM of denominators i.e. for 62,13,975 is 60450.

Thus, GCF of Fractions is 2/60450.Finally, GCF of Fractions for 76/62, 354/13, 532/975 is 2/60450.