How to Find GCF of 4136/100, 7417/7662?

GCF of 4136/100, 7417/7662

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 4136/100, 7417/7662 i.e 1/383100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4136/100, 7417/7662.

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 4136/100,7417/7662?

Given fractions are 4136/100,7417/7662

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 4136/100,7417/7662, numerators are 4136,7417

Denominators are 100,7662

The GCF of 4136,7417 is 1 .

LCM of 100,7662 is 383100.

The greatest common factor of 4136/100,7417/7662 = [GCF of 4136,7417]/[LCM of 100,7662]= 1/383100

Therefore, the GCF of 4136/100,7417/7662 is 1/383100.

Greatest Common Factor of 4136,7417

To find the highest common factor of 4136,7417, we have to find the factors of both numbers and list the highest common factor.

The factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136

The factors of 7417 are 1, 7417

The HCF of 4136,7417 is 1.

Lets's calculate GCF of 4136,7417

Greatest Common Factor (GCF) of 4136,7417 By Common Division

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

Greatest Common Factor of 4136,7417 By Matching Biggest Common Factor Method

Now, list down the factors of 4136

1,2,4,8,11,22,44,47,88,94,188,376,517,1034,2068,4136

Now, list down the factors of 7417

1,7417

Greatest Common Factor

We found the factors 4136,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 4136,7417 is 1.

Lets's calculate LCM of 100,7662

Lowest Common Multiple of 100,7662 using Common Division

2	100, 7662
	50, 3831

∴ So the LCM of the given numbers is 2 x 50 x 3831 = 383100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383100

Therefore, the GCF of Fractions 4136/100,7417/7662 is 1/383100

Least Common Multiple of 100,7662 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 100,7662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7662) = 2

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

GCF(100,7662) x common factors =2 x 1 = 2

LCM(100,7662) = ( 100 × 7662 ) / 2

LCM(100,7662) = 766200 / 2

LCM(100,7662) = 383100

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FAQs on GCF of Fractions of 4136/100, 7417/7662

1. What is the HCF of 4136,7417?

The HCF of 4136,7417 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 4136/100, 7417/7662?

Answer: GCF of Numerators as per given numbers 4136/100, 7417/7662 is

GCF of Numerators i.e. for 4136,7417 is 1

LCM of denominators i.e. for 100,7662 is 383100.

Thus, GCF of Fractions is 1/383100.Finally, GCF of Fractions for 4136/100, 7417/7662 is 1/383100.