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GCF of 5218/944, 7627/1750

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 5218/944, 7627/1750 i.e 1/826000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5218/944, 7627/1750.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5218/944,7627/1750?

Given fractions are 5218/944,7627/1750

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 5218/944,7627/1750, numerators are 5218,7627

Denominators are 944,1750

The GCF of 5218,7627 is 1 .

LCM of 944,1750 is 826000.

The greatest common factor of 5218/944,7627/1750 = [GCF of 5218,7627]/[LCM of 944,1750]= 1/826000

Therefore, the GCF of 5218/944,7627/1750 is 1/826000.

Greatest Common Factor of 5218,7627

To find the highest common factor of 5218,7627, we have to find the factors of both numbers and list the highest common factor.

The factors of 5218 are 1, 2, 2609, 5218

The factors of 7627 are 1, 29, 263, 7627

The HCF of 5218,7627 is 1.

Lets's calculate GCF of 5218,7627

Greatest Common Factor (GCF) of 5218,7627 By Common Division

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

Greatest Common Factor of 5218,7627 By Matching Biggest Common Factor Method

Greatest Common Factor of 5218,7627 By Matching Biggest Common Factor Method

Now, list down the factors of 5218

:

1,2,2609,5218

Now, list down the factors of 7627

:

1,29,263,7627

Greatest Common Factor

We found the factors 5218,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 5218,7627 is 1.

Lets's calculate LCM of 944,1750

Lowest Common Multiple of 944,1750 using Common Division

2 944, 1750
472, 875

∴ So the LCM of the given numbers is 2 x 472 x 875 = 826000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/826000

Therefore, the GCF of Fractions 5218/944,7627/1750 is 1/826000

Least Common Multiple of 944,1750 with GCF Formula

Least Common Multiple of 944,1750 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 944,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,1750) = 2

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

GCF(944,1750) x common factors =2 x 1 = 2

LCM(944,1750) = ( 944 × 1750 ) / 2

LCM(944,1750) = 1652000 / 2

LCM(944,1750) = 826000


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5218/944, 7627/1750

1. What is the HCF of 5218,7627?

The HCF of 5218,7627 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 5218/944, 7627/1750?

Answer: GCF of Numerators as per given numbers 5218/944, 7627/1750 is

GCF of Numerators i.e. for 5218,7627 is 1

LCM of denominators i.e. for 944,1750 is 826000.

Thus, GCF of Fractions is 1/826000.Finally, GCF of Fractions for 5218/944, 7627/1750 is 1/826000.