How to Find GCF of 9049/816, 9259/3552?

GCF of 9049/816, 9259/3552

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 9049/816, 9259/3552 i.e 1/60384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9049/816, 9259/3552.

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 9049/816,9259/3552?

Given fractions are 9049/816,9259/3552

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 9049/816,9259/3552, numerators are 9049,9259

Denominators are 816,3552

The GCF of 9049,9259 is 1 .

LCM of 816,3552 is 60384.

The greatest common factor of 9049/816,9259/3552 = [GCF of 9049,9259]/[LCM of 816,3552]= 1/60384

Therefore, the GCF of 9049/816,9259/3552 is 1/60384.

Greatest Common Factor of 9049,9259

To find the highest common factor of 9049,9259, we have to find the factors of both numbers and list the highest common factor.

The factors of 9049 are 1, 9049

The factors of 9259 are 1, 47, 197, 9259

The HCF of 9049,9259 is 1.

Lets's calculate GCF of 9049,9259

Greatest Common Factor (GCF) of 9049,9259 By Common Division

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

Greatest Common Factor of 9049,9259 By Matching Biggest Common Factor Method

Now, list down the factors of 9049

1,9049

Now, list down the factors of 9259

1,47,197,9259

Greatest Common Factor

We found the factors 9049,9259 . The biggest common factor number is the GCF number.
So the greatest common factor 9049,9259 is 1.

Lets's calculate LCM of 816,3552

Lowest Common Multiple of 816,3552 using Common Division

2	816, 3552
2	408, 1776
2	204, 888
2	102, 444
3	51, 222
	17, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 74 = 60384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60384

Therefore, the GCF of Fractions 9049/816,9259/3552 is 1/60384

Least Common Multiple of 816,3552 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 816,3552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,3552) = 48

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

GCF(816,3552) x common factors =48 x 1 = 48

LCM(816,3552) = ( 816 × 3552 ) / 48

LCM(816,3552) = 2898432 / 48

LCM(816,3552) = 60384

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FAQs on GCF of Fractions of 9049/816, 9259/3552

1. What is the HCF of 9049,9259?

The HCF of 9049,9259 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 9049/816, 9259/3552?

Answer: GCF of Numerators as per given numbers 9049/816, 9259/3552 is

GCF of Numerators i.e. for 9049,9259 is 1

LCM of denominators i.e. for 816,3552 is 60384.

Thus, GCF of Fractions is 1/60384.Finally, GCF of Fractions for 9049/816, 9259/3552 is 1/60384.