How to Find GCF of 3093/532, 8434/8945?

GCF of 3093/532, 8434/8945

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 3093/532, 8434/8945 i.e 1/4758740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3093/532, 8434/8945.

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 3093/532,8434/8945?

Given fractions are 3093/532,8434/8945

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 3093/532,8434/8945, numerators are 3093,8434

Denominators are 532,8945

The GCF of 3093,8434 is 1 .

LCM of 532,8945 is 4758740.

The greatest common factor of 3093/532,8434/8945 = [GCF of 3093,8434]/[LCM of 532,8945]= 1/4758740

Therefore, the GCF of 3093/532,8434/8945 is 1/4758740.

Greatest Common Factor of 3093,8434

To find the highest common factor of 3093,8434, we have to find the factors of both numbers and list the highest common factor.

The factors of 3093 are 1, 3, 1031, 3093

The factors of 8434 are 1, 2, 4217, 8434

The HCF of 3093,8434 is 1.

Lets's calculate GCF of 3093,8434

Greatest Common Factor (GCF) of 3093,8434 By Common Division

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

Greatest Common Factor of 3093,8434 By Matching Biggest Common Factor Method

Now, list down the factors of 3093

1,3,1031,3093

Now, list down the factors of 8434

1,2,4217,8434

Greatest Common Factor

We found the factors 3093,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,8434 is 1.

Lets's calculate LCM of 532,8945

Lowest Common Multiple of 532,8945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4758740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4758740

Therefore, the GCF of Fractions 3093/532,8434/8945 is 1/4758740

Least Common Multiple of 532,8945 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 532,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,8945) = 1

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

GCF(532,8945) x common factors =1 x 1 = 1

LCM(532,8945) = ( 532 × 8945 ) / 1

LCM(532,8945) = 4758740 / 1

LCM(532,8945) = 4758740

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FAQs on GCF of Fractions of 3093/532, 8434/8945

1. What is the HCF of 3093,8434?

The HCF of 3093,8434 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 3093/532, 8434/8945?

Answer: GCF of Numerators as per given numbers 3093/532, 8434/8945 is

GCF of Numerators i.e. for 3093,8434 is 1

LCM of denominators i.e. for 532,8945 is 4758740.

Thus, GCF of Fractions is 1/4758740.Finally, GCF of Fractions for 3093/532, 8434/8945 is 1/4758740.