How to Find GCF of 7345/672, 7034/8581?

GCF of 7345/672, 7034/8581

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 7345/672, 7034/8581 i.e 1/5766432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7345/672, 7034/8581.

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 7345/672,7034/8581?

Given fractions are 7345/672,7034/8581

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 7345/672,7034/8581, numerators are 7345,7034

Denominators are 672,8581

The GCF of 7345,7034 is 1 .

LCM of 672,8581 is 5766432.

The greatest common factor of 7345/672,7034/8581 = [GCF of 7345,7034]/[LCM of 672,8581]= 1/5766432

Therefore, the GCF of 7345/672,7034/8581 is 1/5766432.

Greatest Common Factor of 7345,7034

To find the highest common factor of 7345,7034, we have to find the factors of both numbers and list the highest common factor.

The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345

The factors of 7034 are 1, 2, 3517, 7034

The HCF of 7345,7034 is 1.

Lets's calculate GCF of 7345,7034

Greatest Common Factor (GCF) of 7345,7034 By Common Division

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

Greatest Common Factor of 7345,7034 By Matching Biggest Common Factor Method

Now, list down the factors of 7345

1,5,13,65,113,565,1469,7345

Now, list down the factors of 7034

1,2,3517,7034

Greatest Common Factor

We found the factors 7345,7034 . The biggest common factor number is the GCF number.
So the greatest common factor 7345,7034 is 1.

Lets's calculate LCM of 672,8581

Lowest Common Multiple of 672,8581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5766432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5766432

Therefore, the GCF of Fractions 7345/672,7034/8581 is 1/5766432

Least Common Multiple of 672,8581 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 672,8581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,8581) = 1

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

GCF(672,8581) x common factors =1 x 1 = 1

LCM(672,8581) = ( 672 × 8581 ) / 1

LCM(672,8581) = 5766432 / 1

LCM(672,8581) = 5766432

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FAQs on GCF of Fractions of 7345/672, 7034/8581

1. What is the HCF of 7345,7034?

The HCF of 7345,7034 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 7345/672, 7034/8581?

Answer: GCF of Numerators as per given numbers 7345/672, 7034/8581 is

GCF of Numerators i.e. for 7345,7034 is 1

LCM of denominators i.e. for 672,8581 is 5766432.

Thus, GCF of Fractions is 1/5766432.Finally, GCF of Fractions for 7345/672, 7034/8581 is 1/5766432.