How to Find GCF of 7010/968, 7766/610?

GCF of 7010/968, 7766/610

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 7010/968, 7766/610 i.e 2/295240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7010/968, 7766/610.

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 7010/968,7766/610?

Given fractions are 7010/968,7766/610

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 7010/968,7766/610, numerators are 7010,7766

Denominators are 968,610

The GCF of 7010,7766 is 2 .

LCM of 968,610 is 295240.

The greatest common factor of 7010/968,7766/610 = [GCF of 7010,7766]/[LCM of 968,610]= 2/295240

Therefore, the GCF of 7010/968,7766/610 is 2/295240.

Greatest Common Factor of 7010,7766

To find the highest common factor of 7010,7766, we have to find the factors of both numbers and list the highest common factor.

The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010

The factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766

The HCF of 7010,7766 is 2.

Lets's calculate GCF of 7010,7766

Greatest Common Factor (GCF) of 7010,7766 By Common Division

2	7010, 7766
	3505, 3883

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

Greatest Common Factor of 7010,7766 By Matching Biggest Common Factor Method

Now, list down the factors of 7010

1,2,5,10,701,1402,3505,7010

Now, list down the factors of 7766

1,2,11,22,353,706,3883,7766

Greatest Common Factor

We found the factors 7010,7766 . The biggest common factor number is the GCF number.
So the greatest common factor 7010,7766 is 2.

Lets's calculate LCM of 968,610

Lowest Common Multiple of 968,610 using Common Division

2	968, 610
	484, 305

∴ So the LCM of the given numbers is 2 x 484 x 305 = 295240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/295240

Therefore, the GCF of Fractions 7010/968,7766/610 is 2/295240

Least Common Multiple of 968,610 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 968,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,610) = 2

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

GCF(968,610) x common factors =2 x 1 = 2

LCM(968,610) = ( 968 × 610 ) / 2

LCM(968,610) = 590480 / 2

LCM(968,610) = 295240

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FAQs on GCF of Fractions of 7010/968, 7766/610

1. What is the HCF of 7010,7766?

The HCF of 7010,7766 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 7010/968, 7766/610?

Answer: GCF of Numerators as per given numbers 7010/968, 7766/610 is

GCF of Numerators i.e. for 7010,7766 is 2

LCM of denominators i.e. for 968,610 is 295240.

Thus, GCF of Fractions is 2/295240.Finally, GCF of Fractions for 7010/968, 7766/610 is 2/295240.