How to Find GCF of 2268/922, 1597/7165?

GCF of 2268/922, 1597/7165

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 2268/922, 1597/7165 i.e 1/6606130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2268/922, 1597/7165.

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 2268/922,1597/7165?

Given fractions are 2268/922,1597/7165

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 2268/922,1597/7165, numerators are 2268,1597

Denominators are 922,7165

The GCF of 2268,1597 is 1 .

LCM of 922,7165 is 6606130.

The greatest common factor of 2268/922,1597/7165 = [GCF of 2268,1597]/[LCM of 922,7165]= 1/6606130

Therefore, the GCF of 2268/922,1597/7165 is 1/6606130.

Greatest Common Factor of 2268,1597

To find the highest common factor of 2268,1597, we have to find the factors of both numbers and list the highest common factor.

The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268

The factors of 1597 are 1, 1597

The HCF of 2268,1597 is 1.

Lets's calculate GCF of 2268,1597

Greatest Common Factor (GCF) of 2268,1597 By Common Division

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

Greatest Common Factor of 2268,1597 By Matching Biggest Common Factor Method

Now, list down the factors of 2268

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268

Now, list down the factors of 1597

1,1597

Greatest Common Factor

We found the factors 2268,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 2268,1597 is 1.

Lets's calculate LCM of 922,7165

Lowest Common Multiple of 922,7165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6606130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6606130

Therefore, the GCF of Fractions 2268/922,1597/7165 is 1/6606130

Least Common Multiple of 922,7165 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 922,7165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,7165) = 1

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

GCF(922,7165) x common factors =1 x 1 = 1

LCM(922,7165) = ( 922 × 7165 ) / 1

LCM(922,7165) = 6606130 / 1

LCM(922,7165) = 6606130

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2268/922, 1597/7165

1. What is the HCF of 2268,1597?

The HCF of 2268,1597 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 2268/922, 1597/7165?

Answer: GCF of Numerators as per given numbers 2268/922, 1597/7165 is

GCF of Numerators i.e. for 2268,1597 is 1

LCM of denominators i.e. for 922,7165 is 6606130.

Thus, GCF of Fractions is 1/6606130.Finally, GCF of Fractions for 2268/922, 1597/7165 is 1/6606130.