How to Find GCF of 1706/610, 8021/9462?

GCF of 1706/610, 8021/9462

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 1706/610, 8021/9462 i.e 1/2885910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1706/610, 8021/9462.

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 1706/610,8021/9462?

Given fractions are 1706/610,8021/9462

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 1706/610,8021/9462, numerators are 1706,8021

Denominators are 610,9462

The GCF of 1706,8021 is 1 .

LCM of 610,9462 is 2885910.

The greatest common factor of 1706/610,8021/9462 = [GCF of 1706,8021]/[LCM of 610,9462]= 1/2885910

Therefore, the GCF of 1706/610,8021/9462 is 1/2885910.

Greatest Common Factor of 1706,8021

To find the highest common factor of 1706,8021, we have to find the factors of both numbers and list the highest common factor.

The factors of 1706 are 1, 2, 853, 1706

The factors of 8021 are 1, 13, 617, 8021

The HCF of 1706,8021 is 1.

Lets's calculate GCF of 1706,8021

Greatest Common Factor (GCF) of 1706,8021 By Common Division

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

Greatest Common Factor of 1706,8021 By Matching Biggest Common Factor Method

Now, list down the factors of 1706

1,2,853,1706

Now, list down the factors of 8021

1,13,617,8021

Greatest Common Factor

We found the factors 1706,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 1706,8021 is 1.

Lets's calculate LCM of 610,9462

Lowest Common Multiple of 610,9462 using Common Division

2	610, 9462
	305, 4731

∴ So the LCM of the given numbers is 2 x 305 x 4731 = 2885910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2885910

Therefore, the GCF of Fractions 1706/610,8021/9462 is 1/2885910

Least Common Multiple of 610,9462 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 610,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,9462) = 2

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

GCF(610,9462) x common factors =2 x 1 = 2

LCM(610,9462) = ( 610 × 9462 ) / 2

LCM(610,9462) = 5771820 / 2

LCM(610,9462) = 2885910

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FAQs on GCF of Fractions of 1706/610, 8021/9462

1. What is the HCF of 1706,8021?

The HCF of 1706,8021 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 1706/610, 8021/9462?

Answer: GCF of Numerators as per given numbers 1706/610, 8021/9462 is

GCF of Numerators i.e. for 1706,8021 is 1

LCM of denominators i.e. for 610,9462 is 2885910.

Thus, GCF of Fractions is 1/2885910.Finally, GCF of Fractions for 1706/610, 8021/9462 is 1/2885910.