How to Find GCF of 7606/567, 7810/7597?

GCF of 7606/567, 7810/7597

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 7606/567, 7810/7597 i.e 2/4307499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7606/567, 7810/7597.

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 7606/567,7810/7597?

Given fractions are 7606/567,7810/7597

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 7606/567,7810/7597, numerators are 7606,7810

Denominators are 567,7597

The GCF of 7606,7810 is 2 .

LCM of 567,7597 is 4307499.

The greatest common factor of 7606/567,7810/7597 = [GCF of 7606,7810]/[LCM of 567,7597]= 2/4307499

Therefore, the GCF of 7606/567,7810/7597 is 2/4307499.

Greatest Common Factor of 7606,7810

To find the highest common factor of 7606,7810, we have to find the factors of both numbers and list the highest common factor.

The factors of 7606 are 1, 2, 3803, 7606

The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810

The HCF of 7606,7810 is 2.

Lets's calculate GCF of 7606,7810

Greatest Common Factor (GCF) of 7606,7810 By Common Division

2	7606, 7810
	3803, 3905

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7606,7810 By Matching Biggest Common Factor Method

Now, list down the factors of 7606

1,2,3803,7606

Now, list down the factors of 7810

1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810

Greatest Common Factor

We found the factors 7606,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 7606,7810 is 2.

Lets's calculate LCM of 567,7597

Lowest Common Multiple of 567,7597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4307499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4307499

Therefore, the GCF of Fractions 7606/567,7810/7597 is 2/4307499

Least Common Multiple of 567,7597 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 567,7597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,7597) = 1

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

GCF(567,7597) x common factors =1 x 1 = 1

LCM(567,7597) = ( 567 × 7597 ) / 1

LCM(567,7597) = 4307499 / 1

LCM(567,7597) = 4307499

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FAQs on GCF of Fractions of 7606/567, 7810/7597

1. What is the HCF of 7606,7810?

The HCF of 7606,7810 is 2

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 7606/567, 7810/7597?

Answer: GCF of Numerators as per given numbers 7606/567, 7810/7597 is

GCF of Numerators i.e. for 7606,7810 is 2

LCM of denominators i.e. for 567,7597 is 4307499.

Thus, GCF of Fractions is 2/4307499.Finally, GCF of Fractions for 7606/567, 7810/7597 is 2/4307499.