How to Find GCF of 1232/711, 7268/841?

GCF of 1232/711, 7268/841

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 1232/711, 7268/841 i.e 4/597951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1232/711, 7268/841.

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 1232/711,7268/841?

Given fractions are 1232/711,7268/841

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 1232/711,7268/841, numerators are 1232,7268

Denominators are 711,841

The GCF of 1232,7268 is 4 .

LCM of 711,841 is 597951.

The greatest common factor of 1232/711,7268/841 = [GCF of 1232,7268]/[LCM of 711,841]= 4/597951

Therefore, the GCF of 1232/711,7268/841 is 4/597951.

Greatest Common Factor of 1232,7268

To find the highest common factor of 1232,7268, we have to find the factors of both numbers and list the highest common factor.

The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

The HCF of 1232,7268 is 4.

Lets's calculate GCF of 1232,7268

Greatest Common Factor (GCF) of 1232,7268 By Common Division

2	1232, 7268
2	616, 3634
	308, 1817

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1232,7268 By Matching Biggest Common Factor Method

Now, list down the factors of 1232

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Now, list down the factors of 7268

1,2,4,23,46,79,92,158,316,1817,3634,7268

Greatest Common Factor

We found the factors 1232,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 1232,7268 is 4.

Lets's calculate LCM of 711,841

Lowest Common Multiple of 711,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 597951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/597951

Therefore, the GCF of Fractions 1232/711,7268/841 is 4/597951

Least Common Multiple of 711,841 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 711,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,841) = 1

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

GCF(711,841) x common factors =1 x 1 = 1

LCM(711,841) = ( 711 × 841 ) / 1

LCM(711,841) = 597951 / 1

LCM(711,841) = 597951

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FAQs on GCF of Fractions of 1232/711, 7268/841

1. What is the HCF of 1232,7268?

The HCF of 1232,7268 is 4

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 1232/711, 7268/841?

Answer: GCF of Numerators as per given numbers 1232/711, 7268/841 is

GCF of Numerators i.e. for 1232,7268 is 4

LCM of denominators i.e. for 711,841 is 597951.

Thus, GCF of Fractions is 4/597951.Finally, GCF of Fractions for 1232/711, 7268/841 is 4/597951.