How to Find GCF of 1927/848, 7427/7668?

GCF of 1927/848, 7427/7668

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 1927/848, 7427/7668 i.e 1/1625616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1927/848, 7427/7668.

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 1927/848,7427/7668?

Given fractions are 1927/848,7427/7668

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 1927/848,7427/7668, numerators are 1927,7427

Denominators are 848,7668

The GCF of 1927,7427 is 1 .

LCM of 848,7668 is 1625616.

The greatest common factor of 1927/848,7427/7668 = [GCF of 1927,7427]/[LCM of 848,7668]= 1/1625616

Therefore, the GCF of 1927/848,7427/7668 is 1/1625616.

Greatest Common Factor of 1927,7427

To find the highest common factor of 1927,7427, we have to find the factors of both numbers and list the highest common factor.

The factors of 1927 are 1, 41, 47, 1927

The factors of 7427 are 1, 7, 1061, 7427

The HCF of 1927,7427 is 1.

Lets's calculate GCF of 1927,7427

Greatest Common Factor (GCF) of 1927,7427 By Common Division

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

Greatest Common Factor of 1927,7427 By Matching Biggest Common Factor Method

Now, list down the factors of 1927

1,41,47,1927

Now, list down the factors of 7427

1,7,1061,7427

Greatest Common Factor

We found the factors 1927,7427 . The biggest common factor number is the GCF number.
So the greatest common factor 1927,7427 is 1.

Lets's calculate LCM of 848,7668

Lowest Common Multiple of 848,7668 using Common Division

2	848, 7668
2	424, 3834
	212, 1917

∴ So the LCM of the given numbers is 2 x 2 x 212 x 1917 = 1625616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1625616

Therefore, the GCF of Fractions 1927/848,7427/7668 is 1/1625616

Least Common Multiple of 848,7668 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 848,7668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,7668) = 4

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

GCF(848,7668) x common factors =4 x 1 = 4

LCM(848,7668) = ( 848 × 7668 ) / 4

LCM(848,7668) = 6502464 / 4

LCM(848,7668) = 1625616

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FAQs on GCF of Fractions of 1927/848, 7427/7668

1. What is the HCF of 1927,7427?

The HCF of 1927,7427 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 1927/848, 7427/7668?

Answer: GCF of Numerators as per given numbers 1927/848, 7427/7668 is

GCF of Numerators i.e. for 1927,7427 is 1

LCM of denominators i.e. for 848,7668 is 1625616.

Thus, GCF of Fractions is 1/1625616.Finally, GCF of Fractions for 1927/848, 7427/7668 is 1/1625616.