GCF of 3964/464, 8968/763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3964/464, 8968/763 i.e 4/354032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3964/464, 8968/763.
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 3964/464,8968/763?
Given fractions are 3964/464,8968/763
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 3964/464,8968/763, numerators are 3964,8968
Denominators are 464,763
The GCF of 3964,8968 is 4 .
LCM of 464,763 is 354032.
The greatest common factor of 3964/464,8968/763 = [GCF of 3964,8968]/[LCM of 464,763]= 4/354032
Therefore, the GCF of 3964/464,8968/763 is 4/354032.
To find the highest common factor of 3964,8968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3964 are 1, 2, 4, 991, 1982, 3964
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The HCF of 3964,8968 is 4.
Lets's calculate GCF of 3964,8968
| 2 | 3964, 8968 |
| 2 | 1982, 4484 |
| 991, 2242 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3964,8968 By Matching Biggest Common Factor Method
Now, list down the factors of 3964
:1,2,4,991,1982,3964
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 3964,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,8968 is 4.
Lets's calculate LCM of 464,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 354032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/354032
Therefore, the GCF of Fractions 3964/464,8968/763 is 4/354032
Least Common Multiple of 464,763 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 464,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,763) x common factors =1 x 1 = 1
LCM(464,763) = ( 464 × 763 ) / 1
LCM(464,763) = 354032 / 1
LCM(464,763) = 354032
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FAQs on GCF of Fractions of 3964/464, 8968/763
1. What is the HCF of 3964,8968?
The HCF of 3964,8968 is 4
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 3964/464, 8968/763?
Answer: GCF of Numerators as per given numbers 3964/464, 8968/763 is
GCF of Numerators i.e. for 3964,8968 is 4
LCM of denominators i.e. for 464,763 is 354032.
Thus, GCF of Fractions is 4/354032.Finally, GCF of Fractions for 3964/464, 8968/763 is 4/354032.