How to Find GCF of 9046/611, 2507/2749?

GCF of 9046/611, 2507/2749

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 9046/611, 2507/2749 i.e 1/1679639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9046/611, 2507/2749.

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 9046/611,2507/2749?

Given fractions are 9046/611,2507/2749

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 9046/611,2507/2749, numerators are 9046,2507

Denominators are 611,2749

The GCF of 9046,2507 is 1 .

LCM of 611,2749 is 1679639.

The greatest common factor of 9046/611,2507/2749 = [GCF of 9046,2507]/[LCM of 611,2749]= 1/1679639

Therefore, the GCF of 9046/611,2507/2749 is 1/1679639.

Greatest Common Factor of 9046,2507

To find the highest common factor of 9046,2507, we have to find the factors of both numbers and list the highest common factor.

The factors of 9046 are 1, 2, 4523, 9046

The factors of 2507 are 1, 23, 109, 2507

The HCF of 9046,2507 is 1.

Lets's calculate GCF of 9046,2507

Greatest Common Factor (GCF) of 9046,2507 By Common Division

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

Greatest Common Factor of 9046,2507 By Matching Biggest Common Factor Method

Now, list down the factors of 9046

1,2,4523,9046

Now, list down the factors of 2507

1,23,109,2507

Greatest Common Factor

We found the factors 9046,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 9046,2507 is 1.

Lets's calculate LCM of 611,2749

Lowest Common Multiple of 611,2749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1679639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1679639

Therefore, the GCF of Fractions 9046/611,2507/2749 is 1/1679639

Least Common Multiple of 611,2749 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 611,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,2749) = 1

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

GCF(611,2749) x common factors =1 x 1 = 1

LCM(611,2749) = ( 611 × 2749 ) / 1

LCM(611,2749) = 1679639 / 1

LCM(611,2749) = 1679639

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FAQs on GCF of Fractions of 9046/611, 2507/2749

1. What is the HCF of 9046,2507?

The HCF of 9046,2507 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 9046/611, 2507/2749?

Answer: GCF of Numerators as per given numbers 9046/611, 2507/2749 is

GCF of Numerators i.e. for 9046,2507 is 1

LCM of denominators i.e. for 611,2749 is 1679639.

Thus, GCF of Fractions is 1/1679639.Finally, GCF of Fractions for 9046/611, 2507/2749 is 1/1679639.