How to Find GCF of 7469/608, 5765/3464?

GCF of 7469/608, 5765/3464

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 7469/608, 5765/3464 i.e 1/263264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7469/608, 5765/3464.

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 7469/608,5765/3464?

Given fractions are 7469/608,5765/3464

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 7469/608,5765/3464, numerators are 7469,5765

Denominators are 608,3464

The GCF of 7469,5765 is 1 .

LCM of 608,3464 is 263264.

The greatest common factor of 7469/608,5765/3464 = [GCF of 7469,5765]/[LCM of 608,3464]= 1/263264

Therefore, the GCF of 7469/608,5765/3464 is 1/263264.

Greatest Common Factor of 7469,5765

To find the highest common factor of 7469,5765, we have to find the factors of both numbers and list the highest common factor.

The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469

The factors of 5765 are 1, 5, 1153, 5765

The HCF of 7469,5765 is 1.

Lets's calculate GCF of 7469,5765

Greatest Common Factor (GCF) of 7469,5765 By Common Division

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

Greatest Common Factor of 7469,5765 By Matching Biggest Common Factor Method

Now, list down the factors of 7469

1,7,11,77,97,679,1067,7469

Now, list down the factors of 5765

1,5,1153,5765

Greatest Common Factor

We found the factors 7469,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 7469,5765 is 1.

Lets's calculate LCM of 608,3464

Lowest Common Multiple of 608,3464 using Common Division

2	608, 3464
2	304, 1732
2	152, 866
	76, 433

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 433 = 263264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263264

Therefore, the GCF of Fractions 7469/608,5765/3464 is 1/263264

Least Common Multiple of 608,3464 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 608,3464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,3464) = 8

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

GCF(608,3464) x common factors =8 x 1 = 8

LCM(608,3464) = ( 608 × 3464 ) / 8

LCM(608,3464) = 2106112 / 8

LCM(608,3464) = 263264

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FAQs on GCF of Fractions of 7469/608, 5765/3464

1. What is the HCF of 7469,5765?

The HCF of 7469,5765 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 7469/608, 5765/3464?

Answer: GCF of Numerators as per given numbers 7469/608, 5765/3464 is

GCF of Numerators i.e. for 7469,5765 is 1

LCM of denominators i.e. for 608,3464 is 263264.

Thus, GCF of Fractions is 1/263264.Finally, GCF of Fractions for 7469/608, 5765/3464 is 1/263264.