How to Find GCF of 4717/748, 3350/5024?

GCF of 4717/748, 3350/5024

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 4717/748, 3350/5024 i.e 1/939488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/748, 3350/5024.

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 4717/748,3350/5024?

Given fractions are 4717/748,3350/5024

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 4717/748,3350/5024, numerators are 4717,3350

Denominators are 748,5024

The GCF of 4717,3350 is 1 .

LCM of 748,5024 is 939488.

The greatest common factor of 4717/748,3350/5024 = [GCF of 4717,3350]/[LCM of 748,5024]= 1/939488

Therefore, the GCF of 4717/748,3350/5024 is 1/939488.

Greatest Common Factor of 4717,3350

To find the highest common factor of 4717,3350, we have to find the factors of both numbers and list the highest common factor.

The factors of 4717 are 1, 53, 89, 4717

The factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350

The HCF of 4717,3350 is 1.

Lets's calculate GCF of 4717,3350

Greatest Common Factor (GCF) of 4717,3350 By Common Division

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

Greatest Common Factor of 4717,3350 By Matching Biggest Common Factor Method

Now, list down the factors of 4717

1,53,89,4717

Now, list down the factors of 3350

1,2,5,10,25,50,67,134,335,670,1675,3350

Greatest Common Factor

We found the factors 4717,3350 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,3350 is 1.

Lets's calculate LCM of 748,5024

Lowest Common Multiple of 748,5024 using Common Division

2	748, 5024
2	374, 2512
	187, 1256

∴ So the LCM of the given numbers is 2 x 2 x 187 x 1256 = 939488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939488

Therefore, the GCF of Fractions 4717/748,3350/5024 is 1/939488

Least Common Multiple of 748,5024 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 748,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,5024) = 4

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

GCF(748,5024) x common factors =4 x 1 = 4

LCM(748,5024) = ( 748 × 5024 ) / 4

LCM(748,5024) = 3757952 / 4

LCM(748,5024) = 939488

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FAQs on GCF of Fractions of 4717/748, 3350/5024

1. What is the HCF of 4717,3350?

The HCF of 4717,3350 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 4717/748, 3350/5024?

Answer: GCF of Numerators as per given numbers 4717/748, 3350/5024 is

GCF of Numerators i.e. for 4717,3350 is 1

LCM of denominators i.e. for 748,5024 is 939488.

Thus, GCF of Fractions is 1/939488.Finally, GCF of Fractions for 4717/748, 3350/5024 is 1/939488.