How to Find GCF of 7867/920, 6919/4548?

GCF of 7867/920, 6919/4548

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 7867/920, 6919/4548 i.e 1/1046040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7867/920, 6919/4548.

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 7867/920,6919/4548?

Given fractions are 7867/920,6919/4548

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 7867/920,6919/4548, numerators are 7867,6919

Denominators are 920,4548

The GCF of 7867,6919 is 1 .

LCM of 920,4548 is 1046040.

The greatest common factor of 7867/920,6919/4548 = [GCF of 7867,6919]/[LCM of 920,4548]= 1/1046040

Therefore, the GCF of 7867/920,6919/4548 is 1/1046040.

Greatest Common Factor of 7867,6919

To find the highest common factor of 7867,6919, we have to find the factors of both numbers and list the highest common factor.

The factors of 7867 are 1, 7867

The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919

The HCF of 7867,6919 is 1.

Lets's calculate GCF of 7867,6919

Greatest Common Factor (GCF) of 7867,6919 By Common Division

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

Greatest Common Factor of 7867,6919 By Matching Biggest Common Factor Method

Now, list down the factors of 7867

1,7867

Now, list down the factors of 6919

1,11,17,37,187,407,629,6919

Greatest Common Factor

We found the factors 7867,6919 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,6919 is 1.

Lets's calculate LCM of 920,4548

Lowest Common Multiple of 920,4548 using Common Division

2	920, 4548
2	460, 2274
	230, 1137

∴ So the LCM of the given numbers is 2 x 2 x 230 x 1137 = 1046040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046040

Therefore, the GCF of Fractions 7867/920,6919/4548 is 1/1046040

Least Common Multiple of 920,4548 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 920,4548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,4548) = 4

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

GCF(920,4548) x common factors =4 x 1 = 4

LCM(920,4548) = ( 920 × 4548 ) / 4

LCM(920,4548) = 4184160 / 4

LCM(920,4548) = 1046040

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FAQs on GCF of Fractions of 7867/920, 6919/4548

1. What is the HCF of 7867,6919?

The HCF of 7867,6919 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 7867/920, 6919/4548?

Answer: GCF of Numerators as per given numbers 7867/920, 6919/4548 is

GCF of Numerators i.e. for 7867,6919 is 1

LCM of denominators i.e. for 920,4548 is 1046040.

Thus, GCF of Fractions is 1/1046040.Finally, GCF of Fractions for 7867/920, 6919/4548 is 1/1046040.