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GCF of 820/104, 352/915

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 820/104, 352/915 i.e 4/95160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/104, 352/915.

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 820/104,352/915?

Given fractions are 820/104,352/915

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 820/104,352/915, numerators are 820,352

Denominators are 104,915

The GCF of 820,352 is 4 .

LCM of 104,915 is 95160.

The greatest common factor of 820/104,352/915 = [GCF of 820,352]/[LCM of 104,915]= 4/95160

Therefore, the GCF of 820/104,352/915 is 4/95160.

Greatest Common Factor of 820,352

To find the highest common factor of 820,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 820,352 is 4.

Lets's calculate GCF of 820,352

Greatest Common Factor (GCF) of 820,352 By Common Division

2 820, 352
2 410, 176
205, 88

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

Greatest Common Factor of 820,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,352 By Matching Biggest Common Factor Method

Now, list down the factors of 820

:

1,2,4,5,10,20,41,82,164,205,410,820

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 820,352 . The biggest common factor number is the GCF number.
So the greatest common factor 820,352 is 4.

Lets's calculate LCM of 104,915

Lowest Common Multiple of 104,915 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 95160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/95160

Therefore, the GCF of Fractions 820/104,352/915 is 4/95160

Least Common Multiple of 104,915 with GCF Formula

Least Common Multiple of 104,915 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 104,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,915) = 1

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

GCF(104,915) x common factors =1 x 1 = 1

LCM(104,915) = ( 104 × 915 ) / 1

LCM(104,915) = 95160 / 1

LCM(104,915) = 95160


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FAQs on GCF of Fractions of 820/104, 352/915

1. What is the HCF of 820,352?

The HCF of 820,352 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 820/104, 352/915?

Answer: GCF of Numerators as per given numbers 820/104, 352/915 is

GCF of Numerators i.e. for 820,352 is 4

LCM of denominators i.e. for 104,915 is 95160.

Thus, GCF of Fractions is 4/95160.Finally, GCF of Fractions for 820/104, 352/915 is 4/95160.