How to Find GCF of 886/62, 702/1609?

GCF of 886/62, 702/1609

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 886/62, 702/1609 i.e 2/99758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/62, 702/1609.

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 886/62,702/1609?

Given fractions are 886/62,702/1609

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 886/62,702/1609, numerators are 886,702

Denominators are 62,1609

The GCF of 886,702 is 2 .

LCM of 62,1609 is 99758.

The greatest common factor of 886/62,702/1609 = [GCF of 886,702]/[LCM of 62,1609]= 2/99758

Therefore, the GCF of 886/62,702/1609 is 2/99758.

Greatest Common Factor of 886,702

To find the highest common factor of 886,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 886,702 is 2.

Lets's calculate GCF of 886,702

Greatest Common Factor (GCF) of 886,702 By Common Division

2	886, 702
	443, 351

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

Greatest Common Factor of 886,702 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 886,702 . The biggest common factor number is the GCF number.
So the greatest common factor 886,702 is 2.

Lets's calculate LCM of 62,1609

Lowest Common Multiple of 62,1609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 99758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99758

Therefore, the GCF of Fractions 886/62,702/1609 is 2/99758

Least Common Multiple of 62,1609 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 62,1609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,1609) = 1

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

GCF(62,1609) x common factors =1 x 1 = 1

LCM(62,1609) = ( 62 × 1609 ) / 1

LCM(62,1609) = 99758 / 1

LCM(62,1609) = 99758

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FAQs on GCF of Fractions of 886/62, 702/1609

1. What is the HCF of 886,702?

The HCF of 886,702 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 886/62, 702/1609?

Answer: GCF of Numerators as per given numbers 886/62, 702/1609 is

GCF of Numerators i.e. for 886,702 is 2

LCM of denominators i.e. for 62,1609 is 99758.

Thus, GCF of Fractions is 2/99758.Finally, GCF of Fractions for 886/62, 702/1609 is 2/99758.