How to Find GCF of 7919/263, 4538/1706?

GCF of 7919/263, 4538/1706

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 7919/263, 4538/1706 i.e 1/448678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7919/263, 4538/1706.

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 7919/263,4538/1706?

Given fractions are 7919/263,4538/1706

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 7919/263,4538/1706, numerators are 7919,4538

Denominators are 263,1706

The GCF of 7919,4538 is 1 .

LCM of 263,1706 is 448678.

The greatest common factor of 7919/263,4538/1706 = [GCF of 7919,4538]/[LCM of 263,1706]= 1/448678

Therefore, the GCF of 7919/263,4538/1706 is 1/448678.

Greatest Common Factor of 7919,4538

To find the highest common factor of 7919,4538, we have to find the factors of both numbers and list the highest common factor.

The factors of 7919 are 1, 7919

The factors of 4538 are 1, 2, 2269, 4538

The HCF of 7919,4538 is 1.

Lets's calculate GCF of 7919,4538

Greatest Common Factor (GCF) of 7919,4538 By Common Division

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

Greatest Common Factor of 7919,4538 By Matching Biggest Common Factor Method

Now, list down the factors of 7919

1,7919

Now, list down the factors of 4538

1,2,2269,4538

Greatest Common Factor

We found the factors 7919,4538 . The biggest common factor number is the GCF number.
So the greatest common factor 7919,4538 is 1.

Lets's calculate LCM of 263,1706

Lowest Common Multiple of 263,1706 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 448678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448678

Therefore, the GCF of Fractions 7919/263,4538/1706 is 1/448678

Least Common Multiple of 263,1706 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 263,1706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,1706) = 1

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

GCF(263,1706) x common factors =1 x 1 = 1

LCM(263,1706) = ( 263 × 1706 ) / 1

LCM(263,1706) = 448678 / 1

LCM(263,1706) = 448678

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FAQs on GCF of Fractions of 7919/263, 4538/1706

1. What is the HCF of 7919,4538?

The HCF of 7919,4538 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 7919/263, 4538/1706?

Answer: GCF of Numerators as per given numbers 7919/263, 4538/1706 is

GCF of Numerators i.e. for 7919,4538 is 1

LCM of denominators i.e. for 263,1706 is 448678.

Thus, GCF of Fractions is 1/448678.Finally, GCF of Fractions for 7919/263, 4538/1706 is 1/448678.