How to Find GCF of 1582/868, 9419/9469?

GCF of 1582/868, 9419/9469

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 1582/868, 9419/9469 i.e 1/8219092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1582/868, 9419/9469.

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 1582/868,9419/9469?

Given fractions are 1582/868,9419/9469

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 1582/868,9419/9469, numerators are 1582,9419

Denominators are 868,9469

The GCF of 1582,9419 is 1 .

LCM of 868,9469 is 8219092.

The greatest common factor of 1582/868,9419/9469 = [GCF of 1582,9419]/[LCM of 868,9469]= 1/8219092

Therefore, the GCF of 1582/868,9419/9469 is 1/8219092.

Greatest Common Factor of 1582,9419

To find the highest common factor of 1582,9419, we have to find the factors of both numbers and list the highest common factor.

The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582

The factors of 9419 are 1, 9419

The HCF of 1582,9419 is 1.

Lets's calculate GCF of 1582,9419

Greatest Common Factor (GCF) of 1582,9419 By Common Division

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

Greatest Common Factor of 1582,9419 By Matching Biggest Common Factor Method

Now, list down the factors of 1582

1,2,7,14,113,226,791,1582

Now, list down the factors of 9419

1,9419

Greatest Common Factor

We found the factors 1582,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 1582,9419 is 1.

Lets's calculate LCM of 868,9469

Lowest Common Multiple of 868,9469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8219092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8219092

Therefore, the GCF of Fractions 1582/868,9419/9469 is 1/8219092

Least Common Multiple of 868,9469 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 868,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,9469) = 1

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

GCF(868,9469) x common factors =1 x 1 = 1

LCM(868,9469) = ( 868 × 9469 ) / 1

LCM(868,9469) = 8219092 / 1

LCM(868,9469) = 8219092

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FAQs on GCF of Fractions of 1582/868, 9419/9469

1. What is the HCF of 1582,9419?

The HCF of 1582,9419 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 1582/868, 9419/9469?

Answer: GCF of Numerators as per given numbers 1582/868, 9419/9469 is

GCF of Numerators i.e. for 1582,9419 is 1

LCM of denominators i.e. for 868,9469 is 8219092.

Thus, GCF of Fractions is 1/8219092.Finally, GCF of Fractions for 1582/868, 9419/9469 is 1/8219092.