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GCF of 614/224, 802/883

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 614/224, 802/883 i.e 2/197792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/224, 802/883.

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 614/224,802/883?

Given fractions are 614/224,802/883

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 614/224,802/883, numerators are 614,802

Denominators are 224,883

The GCF of 614,802 is 2 .

LCM of 224,883 is 197792.

The greatest common factor of 614/224,802/883 = [GCF of 614,802]/[LCM of 224,883]= 2/197792

Therefore, the GCF of 614/224,802/883 is 2/197792.

Greatest Common Factor of 614,802

To find the highest common factor of 614,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 614 are 1, 2, 307, 614

The factors of 802 are 1, 2, 401, 802

The HCF of 614,802 is 2.

Lets's calculate GCF of 614,802

Greatest Common Factor (GCF) of 614,802 By Common Division

2 614, 802
307, 401

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

Greatest Common Factor of 614,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,802 By Matching Biggest Common Factor Method

Now, list down the factors of 614

:

1,2,307,614

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 614,802 . The biggest common factor number is the GCF number.
So the greatest common factor 614,802 is 2.

Lets's calculate LCM of 224,883

Lowest Common Multiple of 224,883 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 197792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197792

Therefore, the GCF of Fractions 614/224,802/883 is 2/197792

Least Common Multiple of 224,883 with GCF Formula

Least Common Multiple of 224,883 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 224,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,883) = 1

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

GCF(224,883) x common factors =1 x 1 = 1

LCM(224,883) = ( 224 × 883 ) / 1

LCM(224,883) = 197792 / 1

LCM(224,883) = 197792


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FAQs on GCF of Fractions of 614/224, 802/883

1. What is the HCF of 614,802?

The HCF of 614,802 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 614/224, 802/883?

Answer: GCF of Numerators as per given numbers 614/224, 802/883 is

GCF of Numerators i.e. for 614,802 is 2

LCM of denominators i.e. for 224,883 is 197792.

Thus, GCF of Fractions is 2/197792.Finally, GCF of Fractions for 614/224, 802/883 is 2/197792.