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GCF of 430/262, 978/963

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 430/262, 978/963 i.e 2/252306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/262, 978/963.

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 430/262,978/963?

Given fractions are 430/262,978/963

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 430/262,978/963, numerators are 430,978

Denominators are 262,963

The GCF of 430,978 is 2 .

LCM of 262,963 is 252306.

The greatest common factor of 430/262,978/963 = [GCF of 430,978]/[LCM of 262,963]= 2/252306

Therefore, the GCF of 430/262,978/963 is 2/252306.

Greatest Common Factor of 430,978

To find the highest common factor of 430,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The HCF of 430,978 is 2.

Lets's calculate GCF of 430,978

Greatest Common Factor (GCF) of 430,978 By Common Division

2 430, 978
215, 489

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

Greatest Common Factor of 430,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,978 By Matching Biggest Common Factor Method

Now, list down the factors of 430

:

1,2,5,10,43,86,215,430

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 430,978 . The biggest common factor number is the GCF number.
So the greatest common factor 430,978 is 2.

Lets's calculate LCM of 262,963

Lowest Common Multiple of 262,963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 252306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/252306

Therefore, the GCF of Fractions 430/262,978/963 is 2/252306

Least Common Multiple of 262,963 with GCF Formula

Least Common Multiple of 262,963 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 262,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,963) = 1

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

GCF(262,963) x common factors =1 x 1 = 1

LCM(262,963) = ( 262 × 963 ) / 1

LCM(262,963) = 252306 / 1

LCM(262,963) = 252306


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FAQs on GCF of Fractions of 430/262, 978/963

1. What is the HCF of 430,978?

The HCF of 430,978 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 430/262, 978/963?

Answer: GCF of Numerators as per given numbers 430/262, 978/963 is

GCF of Numerators i.e. for 430,978 is 2

LCM of denominators i.e. for 262,963 is 252306.

Thus, GCF of Fractions is 2/252306.Finally, GCF of Fractions for 430/262, 978/963 is 2/252306.