How to Find GCF of 102/856, 2608/259?

GCF of 102/856, 2608/259

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 102/856, 2608/259 i.e 2/221704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/856, 2608/259.

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 102/856,2608/259?

Given fractions are 102/856,2608/259

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 102/856,2608/259, numerators are 102,2608

Denominators are 856,259

The GCF of 102,2608 is 2 .

LCM of 856,259 is 221704.

The greatest common factor of 102/856,2608/259 = [GCF of 102,2608]/[LCM of 856,259]= 2/221704

Therefore, the GCF of 102/856,2608/259 is 2/221704.

Greatest Common Factor of 102,2608

To find the highest common factor of 102,2608, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608

The HCF of 102,2608 is 2.

Lets's calculate GCF of 102,2608

Greatest Common Factor (GCF) of 102,2608 By Common Division

2	102, 2608
	51, 1304

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

Greatest Common Factor of 102,2608 By Matching Biggest Common Factor Method

Now, list down the factors of 102

1,2,3,6,17,34,51,102

Now, list down the factors of 2608

1,2,4,8,16,163,326,652,1304,2608

Greatest Common Factor

We found the factors 102,2608 . The biggest common factor number is the GCF number.
So the greatest common factor 102,2608 is 2.

Lets's calculate LCM of 856,259

Lowest Common Multiple of 856,259 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221704

Therefore, the GCF of Fractions 102/856,2608/259 is 2/221704

Least Common Multiple of 856,259 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 856,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,259) = 1

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

GCF(856,259) x common factors =1 x 1 = 1

LCM(856,259) = ( 856 × 259 ) / 1

LCM(856,259) = 221704 / 1

LCM(856,259) = 221704

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FAQs on GCF of Fractions of 102/856, 2608/259

1. What is the HCF of 102,2608?

The HCF of 102,2608 is 2

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 102/856, 2608/259?

Answer: GCF of Numerators as per given numbers 102/856, 2608/259 is

GCF of Numerators i.e. for 102,2608 is 2

LCM of denominators i.e. for 856,259 is 221704.

Thus, GCF of Fractions is 2/221704.Finally, GCF of Fractions for 102/856, 2608/259 is 2/221704.