How to Find GCF of 4322/723, 9128/9766?

GCF of 4322/723, 9128/9766

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 4322/723, 9128/9766 i.e 2/7060818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4322/723, 9128/9766.

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 4322/723,9128/9766?

Given fractions are 4322/723,9128/9766

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 4322/723,9128/9766, numerators are 4322,9128

Denominators are 723,9766

The GCF of 4322,9128 is 2 .

LCM of 723,9766 is 7060818.

The greatest common factor of 4322/723,9128/9766 = [GCF of 4322,9128]/[LCM of 723,9766]= 2/7060818

Therefore, the GCF of 4322/723,9128/9766 is 2/7060818.

Greatest Common Factor of 4322,9128

To find the highest common factor of 4322,9128, we have to find the factors of both numbers and list the highest common factor.

The factors of 4322 are 1, 2, 2161, 4322

The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

The HCF of 4322,9128 is 2.

Lets's calculate GCF of 4322,9128

Greatest Common Factor (GCF) of 4322,9128 By Common Division

2	4322, 9128
	2161, 4564

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4322,9128 By Matching Biggest Common Factor Method

Now, list down the factors of 4322

1,2,2161,4322

Now, list down the factors of 9128

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors 4322,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,9128 is 2.

Lets's calculate LCM of 723,9766

Lowest Common Multiple of 723,9766 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7060818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7060818

Therefore, the GCF of Fractions 4322/723,9128/9766 is 2/7060818

Least Common Multiple of 723,9766 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 723,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,9766) = 1

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

GCF(723,9766) x common factors =1 x 1 = 1

LCM(723,9766) = ( 723 × 9766 ) / 1

LCM(723,9766) = 7060818 / 1

LCM(723,9766) = 7060818

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4322/723, 9128/9766

1. What is the HCF of 4322,9128?

The HCF of 4322,9128 is 2

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 4322/723, 9128/9766?

Answer: GCF of Numerators as per given numbers 4322/723, 9128/9766 is

GCF of Numerators i.e. for 4322,9128 is 2

LCM of denominators i.e. for 723,9766 is 7060818.

Thus, GCF of Fractions is 2/7060818.Finally, GCF of Fractions for 4322/723, 9128/9766 is 2/7060818.