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GCF of 787/274, 223/490

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 787/274, 223/490 i.e 1/67130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 787/274, 223/490.

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 787/274,223/490?

Given fractions are 787/274,223/490

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 787/274,223/490, numerators are 787,223

Denominators are 274,490

The GCF of 787,223 is 1 .

LCM of 274,490 is 67130.

The greatest common factor of 787/274,223/490 = [GCF of 787,223]/[LCM of 274,490]= 1/67130

Therefore, the GCF of 787/274,223/490 is 1/67130.

Greatest Common Factor of 787,223

To find the highest common factor of 787,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 787 are 1, 787

The factors of 223 are 1, 223

The HCF of 787,223 is 1.

Lets's calculate GCF of 787,223

Greatest Common Factor (GCF) of 787,223 By Common Division

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

Greatest Common Factor of 787,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,223 By Matching Biggest Common Factor Method

Now, list down the factors of 787

:

1,787

Now, list down the factors of 223

:

1,223

Greatest Common Factor

We found the factors 787,223 . The biggest common factor number is the GCF number.
So the greatest common factor 787,223 is 1.

Lets's calculate LCM of 274,490

Lowest Common Multiple of 274,490 using Common Division

2 274, 490
137, 245

∴ So the LCM of the given numbers is 2 x 137 x 245 = 67130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67130

Therefore, the GCF of Fractions 787/274,223/490 is 1/67130

Least Common Multiple of 274,490 with GCF Formula

Least Common Multiple of 274,490 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 274,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,490) = 2

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

GCF(274,490) x common factors =2 x 1 = 2

LCM(274,490) = ( 274 × 490 ) / 2

LCM(274,490) = 134260 / 2

LCM(274,490) = 67130


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FAQs on GCF of Fractions of 787/274, 223/490

1. What is the HCF of 787,223?

The HCF of 787,223 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 787/274, 223/490?

Answer: GCF of Numerators as per given numbers 787/274, 223/490 is

GCF of Numerators i.e. for 787,223 is 1

LCM of denominators i.e. for 274,490 is 67130.

Thus, GCF of Fractions is 1/67130.Finally, GCF of Fractions for 787/274, 223/490 is 1/67130.