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GCF of 7301/910, 1777/614

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 7301/910, 1777/614 i.e 1/279370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7301/910, 1777/614.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7301/910,1777/614?

Given fractions are 7301/910,1777/614

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 7301/910,1777/614, numerators are 7301,1777

Denominators are 910,614

The GCF of 7301,1777 is 1 .

LCM of 910,614 is 279370.

The greatest common factor of 7301/910,1777/614 = [GCF of 7301,1777]/[LCM of 910,614]= 1/279370

Therefore, the GCF of 7301/910,1777/614 is 1/279370.

Greatest Common Factor of 7301,1777

To find the highest common factor of 7301,1777, we have to find the factors of both numbers and list the highest common factor.

The factors of 7301 are 1, 7, 49, 149, 1043, 7301

The factors of 1777 are 1, 1777

The HCF of 7301,1777 is 1.

Lets's calculate GCF of 7301,1777

Greatest Common Factor (GCF) of 7301,1777 By Common Division

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

Greatest Common Factor of 7301,1777 By Matching Biggest Common Factor Method

Greatest Common Factor of 7301,1777 By Matching Biggest Common Factor Method

Now, list down the factors of 7301

:

1,7,49,149,1043,7301

Now, list down the factors of 1777

:

1,1777

Greatest Common Factor

We found the factors 7301,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,1777 is 1.

Lets's calculate LCM of 910,614

Lowest Common Multiple of 910,614 using Common Division

2 910, 614
455, 307

∴ So the LCM of the given numbers is 2 x 455 x 307 = 279370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279370

Therefore, the GCF of Fractions 7301/910,1777/614 is 1/279370

Least Common Multiple of 910,614 with GCF Formula

Least Common Multiple of 910,614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 910,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,614) = 2

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

GCF(910,614) x common factors =2 x 1 = 2

LCM(910,614) = ( 910 × 614 ) / 2

LCM(910,614) = 558740 / 2

LCM(910,614) = 279370


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FAQs on GCF of Fractions of 7301/910, 1777/614

1. What is the HCF of 7301,1777?

The HCF of 7301,1777 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 7301/910, 1777/614?

Answer: GCF of Numerators as per given numbers 7301/910, 1777/614 is

GCF of Numerators i.e. for 7301,1777 is 1

LCM of denominators i.e. for 910,614 is 279370.

Thus, GCF of Fractions is 1/279370.Finally, GCF of Fractions for 7301/910, 1777/614 is 1/279370.