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GCF of 722/42, 206/739

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 722/42, 206/739 i.e 2/31038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/42, 206/739.

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 722/42,206/739?

Given fractions are 722/42,206/739

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 722/42,206/739, numerators are 722,206

Denominators are 42,739

The GCF of 722,206 is 2 .

LCM of 42,739 is 31038.

The greatest common factor of 722/42,206/739 = [GCF of 722,206]/[LCM of 42,739]= 2/31038

Therefore, the GCF of 722/42,206/739 is 2/31038.

Greatest Common Factor of 722,206

To find the highest common factor of 722,206, we have to find the factors of both numbers and list the highest common factor.

The factors of 722 are 1, 2, 19, 38, 361, 722

The factors of 206 are 1, 2, 103, 206

The HCF of 722,206 is 2.

Lets's calculate GCF of 722,206

Greatest Common Factor (GCF) of 722,206 By Common Division

2 722, 206
361, 103

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

Greatest Common Factor of 722,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,206 By Matching Biggest Common Factor Method

Now, list down the factors of 722

:

1,2,19,38,361,722

Now, list down the factors of 206

:

1,2,103,206

Greatest Common Factor

We found the factors 722,206 . The biggest common factor number is the GCF number.
So the greatest common factor 722,206 is 2.

Lets's calculate LCM of 42,739

Lowest Common Multiple of 42,739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31038

Therefore, the GCF of Fractions 722/42,206/739 is 2/31038

Least Common Multiple of 42,739 with GCF Formula

Least Common Multiple of 42,739 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 42,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,739) = 1

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

GCF(42,739) x common factors =1 x 1 = 1

LCM(42,739) = ( 42 × 739 ) / 1

LCM(42,739) = 31038 / 1

LCM(42,739) = 31038


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FAQs on GCF of Fractions of 722/42, 206/739

1. What is the HCF of 722,206?

The HCF of 722,206 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 722/42, 206/739?

Answer: GCF of Numerators as per given numbers 722/42, 206/739 is

GCF of Numerators i.e. for 722,206 is 2

LCM of denominators i.e. for 42,739 is 31038.

Thus, GCF of Fractions is 2/31038.Finally, GCF of Fractions for 722/42, 206/739 is 2/31038.