How to Find GCF of 6949/425, 4313/9193?

GCF of 6949/425, 4313/9193

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 6949/425, 4313/9193 i.e 1/3907025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6949/425, 4313/9193.

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 6949/425,4313/9193?

Given fractions are 6949/425,4313/9193

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 6949/425,4313/9193, numerators are 6949,4313

Denominators are 425,9193

The GCF of 6949,4313 is 1 .

LCM of 425,9193 is 3907025.

The greatest common factor of 6949/425,4313/9193 = [GCF of 6949,4313]/[LCM of 425,9193]= 1/3907025

Therefore, the GCF of 6949/425,4313/9193 is 1/3907025.

Greatest Common Factor of 6949,4313

To find the highest common factor of 6949,4313, we have to find the factors of both numbers and list the highest common factor.

The factors of 6949 are 1, 6949

The factors of 4313 are 1, 19, 227, 4313

The HCF of 6949,4313 is 1.

Lets's calculate GCF of 6949,4313

Greatest Common Factor (GCF) of 6949,4313 By Common Division

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

Greatest Common Factor of 6949,4313 By Matching Biggest Common Factor Method

Now, list down the factors of 6949

1,6949

Now, list down the factors of 4313

1,19,227,4313

Greatest Common Factor

We found the factors 6949,4313 . The biggest common factor number is the GCF number.
So the greatest common factor 6949,4313 is 1.

Lets's calculate LCM of 425,9193

Lowest Common Multiple of 425,9193 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3907025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3907025

Therefore, the GCF of Fractions 6949/425,4313/9193 is 1/3907025

Least Common Multiple of 425,9193 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 425,9193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,9193) = 1

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

GCF(425,9193) x common factors =1 x 1 = 1

LCM(425,9193) = ( 425 × 9193 ) / 1

LCM(425,9193) = 3907025 / 1

LCM(425,9193) = 3907025

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FAQs on GCF of Fractions of 6949/425, 4313/9193

1. What is the HCF of 6949,4313?

The HCF of 6949,4313 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 6949/425, 4313/9193?

Answer: GCF of Numerators as per given numbers 6949/425, 4313/9193 is

GCF of Numerators i.e. for 6949,4313 is 1

LCM of denominators i.e. for 425,9193 is 3907025.

Thus, GCF of Fractions is 1/3907025.Finally, GCF of Fractions for 6949/425, 4313/9193 is 1/3907025.