How to Find GCF of 7057/602, 6307/2578?

GCF of 7057/602, 6307/2578

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 7057/602, 6307/2578 i.e 1/775978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7057/602, 6307/2578.

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 7057/602,6307/2578?

Given fractions are 7057/602,6307/2578

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 7057/602,6307/2578, numerators are 7057,6307

Denominators are 602,2578

The GCF of 7057,6307 is 1 .

LCM of 602,2578 is 775978.

The greatest common factor of 7057/602,6307/2578 = [GCF of 7057,6307]/[LCM of 602,2578]= 1/775978

Therefore, the GCF of 7057/602,6307/2578 is 1/775978.

Greatest Common Factor of 7057,6307

To find the highest common factor of 7057,6307, we have to find the factors of both numbers and list the highest common factor.

The factors of 7057 are 1, 7057

The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307

The HCF of 7057,6307 is 1.

Lets's calculate GCF of 7057,6307

Greatest Common Factor (GCF) of 7057,6307 By Common Division

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

Greatest Common Factor of 7057,6307 By Matching Biggest Common Factor Method

Now, list down the factors of 7057

1,7057

Now, list down the factors of 6307

1,7,17,53,119,371,901,6307

Greatest Common Factor

We found the factors 7057,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 7057,6307 is 1.

Lets's calculate LCM of 602,2578

Lowest Common Multiple of 602,2578 using Common Division

2	602, 2578
	301, 1289

∴ So the LCM of the given numbers is 2 x 301 x 1289 = 775978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/775978

Therefore, the GCF of Fractions 7057/602,6307/2578 is 1/775978

Least Common Multiple of 602,2578 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 602,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,2578) = 2

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

GCF(602,2578) x common factors =2 x 1 = 2

LCM(602,2578) = ( 602 × 2578 ) / 2

LCM(602,2578) = 1551956 / 2

LCM(602,2578) = 775978

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FAQs on GCF of Fractions of 7057/602, 6307/2578

1. What is the HCF of 7057,6307?

The HCF of 7057,6307 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 7057/602, 6307/2578?

Answer: GCF of Numerators as per given numbers 7057/602, 6307/2578 is

GCF of Numerators i.e. for 7057,6307 is 1

LCM of denominators i.e. for 602,2578 is 775978.

Thus, GCF of Fractions is 1/775978.Finally, GCF of Fractions for 7057/602, 6307/2578 is 1/775978.