GCF of 4351/478, 4964/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4351/478, 4964/993 i.e 1/474654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4351/478, 4964/993.
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 4351/478,4964/993?
Given fractions are 4351/478,4964/993
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 4351/478,4964/993, numerators are 4351,4964
Denominators are 478,993
The GCF of 4351,4964 is 1 .
LCM of 478,993 is 474654.
The greatest common factor of 4351/478,4964/993 = [GCF of 4351,4964]/[LCM of 478,993]= 1/474654
Therefore, the GCF of 4351/478,4964/993 is 1/474654.
To find the highest common factor of 4351,4964, we have to find the factors of both numbers and list the highest common factor.
The factors of 4351 are 1, 19, 229, 4351
The factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964
The HCF of 4351,4964 is 1.
Lets's calculate GCF of 4351,4964
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4351,4964 By Matching Biggest Common Factor Method
Now, list down the factors of 4351
:1,19,229,4351
Now, list down the factors of 4964
:1,2,4,17,34,68,73,146,292,1241,2482,4964
Greatest Common Factor
We found the factors 4351,4964 . The biggest common factor number is the GCF number.
So the greatest common factor 4351,4964 is 1.
Lets's calculate LCM of 478,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 474654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474654
Therefore, the GCF of Fractions 4351/478,4964/993 is 1/474654
Least Common Multiple of 478,993 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 478,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,993) x common factors =1 x 1 = 1
LCM(478,993) = ( 478 × 993 ) / 1
LCM(478,993) = 474654 / 1
LCM(478,993) = 474654
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FAQs on GCF of Fractions of 4351/478, 4964/993
1. What is the HCF of 4351,4964?
The HCF of 4351,4964 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 4351/478, 4964/993?
Answer: GCF of Numerators as per given numbers 4351/478, 4964/993 is
GCF of Numerators i.e. for 4351,4964 is 1
LCM of denominators i.e. for 478,993 is 474654.
Thus, GCF of Fractions is 1/474654.Finally, GCF of Fractions for 4351/478, 4964/993 is 1/474654.