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GCF of 424/63, 882/7418

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 424/63, 882/7418 i.e 2/467334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/63, 882/7418.

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 424/63,882/7418?

Given fractions are 424/63,882/7418

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 424/63,882/7418, numerators are 424,882

Denominators are 63,7418

The GCF of 424,882 is 2 .

LCM of 63,7418 is 467334.

The greatest common factor of 424/63,882/7418 = [GCF of 424,882]/[LCM of 63,7418]= 2/467334

Therefore, the GCF of 424/63,882/7418 is 2/467334.

Greatest Common Factor of 424,882

To find the highest common factor of 424,882, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

The HCF of 424,882 is 2.

Lets's calculate GCF of 424,882

Greatest Common Factor (GCF) of 424,882 By Common Division

2 424, 882
212, 441

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

Greatest Common Factor of 424,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,882 By Matching Biggest Common Factor Method

Now, list down the factors of 424

:

1,2,4,8,53,106,212,424

Now, list down the factors of 882

:

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 424,882 . The biggest common factor number is the GCF number.
So the greatest common factor 424,882 is 2.


Lets's calculate LCM of 63,7418

Lowest Common Multiple of 63,7418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 467334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/467334

Therefore, the GCF of Fractions 424/63,882/7418 is 2/467334

Least Common Multiple of 63,7418 with GCF Formula

Least Common Multiple of 63,7418 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 63,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,7418) = 1

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

GCF(63,7418) x common factors =1 x 1 = 1

LCM(63,7418) = ( 63 × 7418 ) / 1

LCM(63,7418) = 467334 / 1

LCM(63,7418) = 467334


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 424/63, 882/7418

1. What is the HCF of 424,882?

The HCF of 424,882 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 424/63, 882/7418?

Answer: GCF of Numerators as per given numbers 424/63, 882/7418 is

GCF of Numerators i.e. for 424,882 is 2

LCM of denominators i.e. for 63,7418 is 467334.

Thus, GCF of Fractions is 2/467334.Finally, GCF of Fractions for 424/63, 882/7418 is 2/467334.