How to Find GCF of 7819/601, 2948/9305?

GCF of 7819/601, 2948/9305

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 7819/601, 2948/9305 i.e 1/5592305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7819/601, 2948/9305.

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 7819/601,2948/9305?

Given fractions are 7819/601,2948/9305

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 7819/601,2948/9305, numerators are 7819,2948

Denominators are 601,9305

The GCF of 7819,2948 is 1 .

LCM of 601,9305 is 5592305.

The greatest common factor of 7819/601,2948/9305 = [GCF of 7819,2948]/[LCM of 601,9305]= 1/5592305

Therefore, the GCF of 7819/601,2948/9305 is 1/5592305.

Greatest Common Factor of 7819,2948

To find the highest common factor of 7819,2948, we have to find the factors of both numbers and list the highest common factor.

The factors of 7819 are 1, 7, 1117, 7819

The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948

The HCF of 7819,2948 is 1.

Lets's calculate GCF of 7819,2948

Greatest Common Factor (GCF) of 7819,2948 By Common Division

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

Greatest Common Factor of 7819,2948 By Matching Biggest Common Factor Method

Now, list down the factors of 7819

1,7,1117,7819

Now, list down the factors of 2948

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors 7819,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 7819,2948 is 1.

Lets's calculate LCM of 601,9305

Lowest Common Multiple of 601,9305 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5592305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5592305

Therefore, the GCF of Fractions 7819/601,2948/9305 is 1/5592305

Least Common Multiple of 601,9305 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 601,9305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,9305) = 1

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

GCF(601,9305) x common factors =1 x 1 = 1

LCM(601,9305) = ( 601 × 9305 ) / 1

LCM(601,9305) = 5592305 / 1

LCM(601,9305) = 5592305

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FAQs on GCF of Fractions of 7819/601, 2948/9305

1. What is the HCF of 7819,2948?

The HCF of 7819,2948 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 7819/601, 2948/9305?

Answer: GCF of Numerators as per given numbers 7819/601, 2948/9305 is

GCF of Numerators i.e. for 7819,2948 is 1

LCM of denominators i.e. for 601,9305 is 5592305.

Thus, GCF of Fractions is 1/5592305.Finally, GCF of Fractions for 7819/601, 2948/9305 is 1/5592305.