How to Find GCF of 7022/686, 5473/923?

GCF of 7022/686, 5473/923

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 7022/686, 5473/923 i.e 1/633178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7022/686, 5473/923.

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 7022/686,5473/923?

Given fractions are 7022/686,5473/923

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 7022/686,5473/923, numerators are 7022,5473

Denominators are 686,923

The GCF of 7022,5473 is 1 .

LCM of 686,923 is 633178.

The greatest common factor of 7022/686,5473/923 = [GCF of 7022,5473]/[LCM of 686,923]= 1/633178

Therefore, the GCF of 7022/686,5473/923 is 1/633178.

Greatest Common Factor of 7022,5473

To find the highest common factor of 7022,5473, we have to find the factors of both numbers and list the highest common factor.

The factors of 7022 are 1, 2, 3511, 7022

The factors of 5473 are 1, 13, 421, 5473

The HCF of 7022,5473 is 1.

Lets's calculate GCF of 7022,5473

Greatest Common Factor (GCF) of 7022,5473 By Common Division

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

Greatest Common Factor of 7022,5473 By Matching Biggest Common Factor Method

Now, list down the factors of 7022

1,2,3511,7022

Now, list down the factors of 5473

1,13,421,5473

Greatest Common Factor

We found the factors 7022,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,5473 is 1.

Lets's calculate LCM of 686,923

Lowest Common Multiple of 686,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 633178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633178

Therefore, the GCF of Fractions 7022/686,5473/923 is 1/633178

Least Common Multiple of 686,923 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 686,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,923) = 1

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

GCF(686,923) x common factors =1 x 1 = 1

LCM(686,923) = ( 686 × 923 ) / 1

LCM(686,923) = 633178 / 1

LCM(686,923) = 633178

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FAQs on GCF of Fractions of 7022/686, 5473/923

1. What is the HCF of 7022,5473?

The HCF of 7022,5473 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 7022/686, 5473/923?

Answer: GCF of Numerators as per given numbers 7022/686, 5473/923 is

GCF of Numerators i.e. for 7022,5473 is 1

LCM of denominators i.e. for 686,923 is 633178.

Thus, GCF of Fractions is 1/633178.Finally, GCF of Fractions for 7022/686, 5473/923 is 1/633178.