How to Find GCF of 856/67, 828/6059?

GCF of 856/67, 828/6059

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 856/67, 828/6059 i.e 4/405953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/67, 828/6059.

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 856/67,828/6059?

Given fractions are 856/67,828/6059

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 856/67,828/6059, numerators are 856,828

Denominators are 67,6059

The GCF of 856,828 is 4 .

LCM of 67,6059 is 405953.

The greatest common factor of 856/67,828/6059 = [GCF of 856,828]/[LCM of 67,6059]= 4/405953

Therefore, the GCF of 856/67,828/6059 is 4/405953.

Greatest Common Factor of 856,828

To find the highest common factor of 856,828, we have to find the factors of both numbers and list the highest common factor.

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

The HCF of 856,828 is 4.

Lets's calculate GCF of 856,828

Greatest Common Factor (GCF) of 856,828 By Common Division

2	856, 828
2	428, 414
	214, 207

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

Greatest Common Factor of 856,828 By Matching Biggest Common Factor Method

Now, list down the factors of 856

1,2,4,8,107,214,428,856

Now, list down the factors of 828

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 856,828 . The biggest common factor number is the GCF number.
So the greatest common factor 856,828 is 4.

Lets's calculate LCM of 67,6059

Lowest Common Multiple of 67,6059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 405953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/405953

Therefore, the GCF of Fractions 856/67,828/6059 is 4/405953

Least Common Multiple of 67,6059 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 67,6059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,6059) = 1

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

GCF(67,6059) x common factors =1 x 1 = 1

LCM(67,6059) = ( 67 × 6059 ) / 1

LCM(67,6059) = 405953 / 1

LCM(67,6059) = 405953

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FAQs on GCF of Fractions of 856/67, 828/6059

1. What is the HCF of 856,828?

The HCF of 856,828 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 856/67, 828/6059?

Answer: GCF of Numerators as per given numbers 856/67, 828/6059 is

GCF of Numerators i.e. for 856,828 is 4

LCM of denominators i.e. for 67,6059 is 405953.

Thus, GCF of Fractions is 4/405953.Finally, GCF of Fractions for 856/67, 828/6059 is 4/405953.