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GCF of 506/776, 945/142

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 506/776, 945/142 i.e 1/55096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/776, 945/142.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 506/776,945/142?

Given fractions are 506/776,945/142

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 506/776,945/142, numerators are 506,945

Denominators are 776,142

The GCF of 506,945 is 1 .

LCM of 776,142 is 55096.

The greatest common factor of 506/776,945/142 = [GCF of 506,945]/[LCM of 776,142]= 1/55096

Therefore, the GCF of 506/776,945/142 is 1/55096.

Greatest Common Factor of 506,945

To find the highest common factor of 506,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 506,945 is 1.

Lets's calculate GCF of 506,945

Greatest Common Factor (GCF) of 506,945 By Common Division

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

Greatest Common Factor of 506,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,945 By Matching Biggest Common Factor Method

Now, list down the factors of 506

:

1,2,11,22,23,46,253,506

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 506,945 . The biggest common factor number is the GCF number.
So the greatest common factor 506,945 is 1.

Lets's calculate LCM of 776,142

Lowest Common Multiple of 776,142 using Common Division

2 776, 142
388, 71

∴ So the LCM of the given numbers is 2 x 388 x 71 = 55096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55096

Therefore, the GCF of Fractions 506/776,945/142 is 1/55096

Least Common Multiple of 776,142 with GCF Formula

Least Common Multiple of 776,142 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 776,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,142) = 2

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

GCF(776,142) x common factors =2 x 1 = 2

LCM(776,142) = ( 776 × 142 ) / 2

LCM(776,142) = 110192 / 2

LCM(776,142) = 55096


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FAQs on GCF of Fractions of 506/776, 945/142

1. What is the HCF of 506,945?

The HCF of 506,945 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 506/776, 945/142?

Answer: GCF of Numerators as per given numbers 506/776, 945/142 is

GCF of Numerators i.e. for 506,945 is 1

LCM of denominators i.e. for 776,142 is 55096.

Thus, GCF of Fractions is 1/55096.Finally, GCF of Fractions for 506/776, 945/142 is 1/55096.