How to Find GCF of 3422/532, 8859/8469?

GCF of 3422/532, 8859/8469

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 3422/532, 8859/8469 i.e 1/4505508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3422/532, 8859/8469.

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 3422/532,8859/8469?

Given fractions are 3422/532,8859/8469

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 3422/532,8859/8469, numerators are 3422,8859

Denominators are 532,8469

The GCF of 3422,8859 is 1 .

LCM of 532,8469 is 4505508.

The greatest common factor of 3422/532,8859/8469 = [GCF of 3422,8859]/[LCM of 532,8469]= 1/4505508

Therefore, the GCF of 3422/532,8859/8469 is 1/4505508.

Greatest Common Factor of 3422,8859

To find the highest common factor of 3422,8859, we have to find the factors of both numbers and list the highest common factor.

The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422

The factors of 8859 are 1, 3, 2953, 8859

The HCF of 3422,8859 is 1.

Lets's calculate GCF of 3422,8859

Greatest Common Factor (GCF) of 3422,8859 By Common Division

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

Greatest Common Factor of 3422,8859 By Matching Biggest Common Factor Method

Now, list down the factors of 3422

1,2,29,58,59,118,1711,3422

Now, list down the factors of 8859

1,3,2953,8859

Greatest Common Factor

We found the factors 3422,8859 . The biggest common factor number is the GCF number.
So the greatest common factor 3422,8859 is 1.

Lets's calculate LCM of 532,8469

Lowest Common Multiple of 532,8469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4505508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4505508

Therefore, the GCF of Fractions 3422/532,8859/8469 is 1/4505508

Least Common Multiple of 532,8469 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 532,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,8469) = 1

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

GCF(532,8469) x common factors =1 x 1 = 1

LCM(532,8469) = ( 532 × 8469 ) / 1

LCM(532,8469) = 4505508 / 1

LCM(532,8469) = 4505508

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FAQs on GCF of Fractions of 3422/532, 8859/8469

1. What is the HCF of 3422,8859?

The HCF of 3422,8859 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 3422/532, 8859/8469?

Answer: GCF of Numerators as per given numbers 3422/532, 8859/8469 is

GCF of Numerators i.e. for 3422,8859 is 1

LCM of denominators i.e. for 532,8469 is 4505508.

Thus, GCF of Fractions is 1/4505508.Finally, GCF of Fractions for 3422/532, 8859/8469 is 1/4505508.