How to Find GCF of 7069/369, 5858/9292?

GCF of 7069/369, 5858/9292

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 7069/369, 5858/9292 i.e 1/3428748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7069/369, 5858/9292.

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 7069/369,5858/9292?

Given fractions are 7069/369,5858/9292

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 7069/369,5858/9292, numerators are 7069,5858

Denominators are 369,9292

The GCF of 7069,5858 is 1 .

LCM of 369,9292 is 3428748.

The greatest common factor of 7069/369,5858/9292 = [GCF of 7069,5858]/[LCM of 369,9292]= 1/3428748

Therefore, the GCF of 7069/369,5858/9292 is 1/3428748.

Greatest Common Factor of 7069,5858

To find the highest common factor of 7069,5858, we have to find the factors of both numbers and list the highest common factor.

The factors of 7069 are 1, 7069

The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858

The HCF of 7069,5858 is 1.

Lets's calculate GCF of 7069,5858

Greatest Common Factor (GCF) of 7069,5858 By Common Division

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

Greatest Common Factor of 7069,5858 By Matching Biggest Common Factor Method

Now, list down the factors of 7069

1,7069

Now, list down the factors of 5858

1,2,29,58,101,202,2929,5858

Greatest Common Factor

We found the factors 7069,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 7069,5858 is 1.

Lets's calculate LCM of 369,9292

Lowest Common Multiple of 369,9292 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3428748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3428748

Therefore, the GCF of Fractions 7069/369,5858/9292 is 1/3428748

Least Common Multiple of 369,9292 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 369,9292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,9292) = 1

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

GCF(369,9292) x common factors =1 x 1 = 1

LCM(369,9292) = ( 369 × 9292 ) / 1

LCM(369,9292) = 3428748 / 1

LCM(369,9292) = 3428748

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FAQs on GCF of Fractions of 7069/369, 5858/9292

1. What is the HCF of 7069,5858?

The HCF of 7069,5858 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 7069/369, 5858/9292?

Answer: GCF of Numerators as per given numbers 7069/369, 5858/9292 is

GCF of Numerators i.e. for 7069,5858 is 1

LCM of denominators i.e. for 369,9292 is 3428748.

Thus, GCF of Fractions is 1/3428748.Finally, GCF of Fractions for 7069/369, 5858/9292 is 1/3428748.