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GCF of 467/888, 705/978

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 467/888, 705/978 i.e 1/144744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/888, 705/978.

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 467/888,705/978?

Given fractions are 467/888,705/978

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 467/888,705/978, numerators are 467,705

Denominators are 888,978

The GCF of 467,705 is 1 .

LCM of 888,978 is 144744.

The greatest common factor of 467/888,705/978 = [GCF of 467,705]/[LCM of 888,978]= 1/144744

Therefore, the GCF of 467/888,705/978 is 1/144744.

Greatest Common Factor of 467,705

To find the highest common factor of 467,705, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 467,705 is 1.

Lets's calculate GCF of 467,705

Greatest Common Factor (GCF) of 467,705 By Common Division

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

Greatest Common Factor of 467,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,705 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 705

:

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 467,705 . The biggest common factor number is the GCF number.
So the greatest common factor 467,705 is 1.

Lets's calculate LCM of 888,978

Lowest Common Multiple of 888,978 using Common Division

2 888, 978
3 444, 489
148, 163

∴ So the LCM of the given numbers is 2 x 3 x 148 x 163 = 144744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144744

Therefore, the GCF of Fractions 467/888,705/978 is 1/144744

Least Common Multiple of 888,978 with GCF Formula

Least Common Multiple of 888,978 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 888,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,978) = 6

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

GCF(888,978) x common factors =6 x 1 = 6

LCM(888,978) = ( 888 × 978 ) / 6

LCM(888,978) = 868464 / 6

LCM(888,978) = 144744


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FAQs on GCF of Fractions of 467/888, 705/978

1. What is the HCF of 467,705?

The HCF of 467,705 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 467/888, 705/978?

Answer: GCF of Numerators as per given numbers 467/888, 705/978 is

GCF of Numerators i.e. for 467,705 is 1

LCM of denominators i.e. for 888,978 is 144744.

Thus, GCF of Fractions is 1/144744.Finally, GCF of Fractions for 467/888, 705/978 is 1/144744.