GCF of 760/87, 423/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/87, 423/978 i.e 1/28362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/87, 423/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 760/87,423/978?
Given fractions are 760/87,423/978
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 760/87,423/978, numerators are 760,423
Denominators are 87,978
The GCF of 760,423 is 1 .
LCM of 87,978 is 28362.
The greatest common factor of 760/87,423/978 = [GCF of 760,423]/[LCM of 87,978]= 1/28362
Therefore, the GCF of 760/87,423/978 is 1/28362.
To find the highest common factor of 760,423, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 423 are 1, 3, 9, 47, 141, 423
The HCF of 760,423 is 1.
Lets's calculate GCF of 760,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 760,423 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 423
:1,3,9,47,141,423
Greatest Common Factor
We found the factors 760,423 . The biggest common factor number is the GCF number.
So the greatest common factor 760,423 is 1.
Lets's calculate LCM of 87,978
| 3 | 87, 978 |
| 29, 326 |
∴ So the LCM of the given numbers is 3 x 29 x 326 = 28362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28362
Therefore, the GCF of Fractions 760/87,423/978 is 1/28362
Least Common Multiple of 87,978 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 87,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,978) x common factors =3 x 1 = 3
LCM(87,978) = ( 87 × 978 ) / 3
LCM(87,978) = 85086 / 3
LCM(87,978) = 28362
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FAQs on GCF of Fractions of 760/87, 423/978
1. What is the HCF of 760,423?
The HCF of 760,423 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 760/87, 423/978?
Answer: GCF of Numerators as per given numbers 760/87, 423/978 is
GCF of Numerators i.e. for 760,423 is 1
LCM of denominators i.e. for 87,978 is 28362.
Thus, GCF of Fractions is 1/28362.Finally, GCF of Fractions for 760/87, 423/978 is 1/28362.