GCF of 3971/883, 4646/5778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3971/883, 4646/5778 i.e 1/5101974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3971/883, 4646/5778.
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 3971/883,4646/5778?
Given fractions are 3971/883,4646/5778
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 3971/883,4646/5778, numerators are 3971,4646
Denominators are 883,5778
The GCF of 3971,4646 is 1 .
LCM of 883,5778 is 5101974.
The greatest common factor of 3971/883,4646/5778 = [GCF of 3971,4646]/[LCM of 883,5778]= 1/5101974
Therefore, the GCF of 3971/883,4646/5778 is 1/5101974.
To find the highest common factor of 3971,4646, we have to find the factors of both numbers and list the highest common factor.
The factors of 3971 are 1, 11, 19, 209, 361, 3971
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The HCF of 3971,4646 is 1.
Lets's calculate GCF of 3971,4646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3971,4646 By Matching Biggest Common Factor Method
Now, list down the factors of 3971
:1,11,19,209,361,3971
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Greatest Common Factor
We found the factors 3971,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 3971,4646 is 1.
Lets's calculate LCM of 883,5778
Given numbers has no common factors except 1. So, there LCM is their product i.e 5101974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5101974
Therefore, the GCF of Fractions 3971/883,4646/5778 is 1/5101974
Least Common Multiple of 883,5778 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 883,5778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,5778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,5778) x common factors =1 x 1 = 1
LCM(883,5778) = ( 883 × 5778 ) / 1
LCM(883,5778) = 5101974 / 1
LCM(883,5778) = 5101974
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FAQs on GCF of Fractions of 3971/883, 4646/5778
1. What is the HCF of 3971,4646?
The HCF of 3971,4646 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 3971/883, 4646/5778?
Answer: GCF of Numerators as per given numbers 3971/883, 4646/5778 is
GCF of Numerators i.e. for 3971,4646 is 1
LCM of denominators i.e. for 883,5778 is 5101974.
Thus, GCF of Fractions is 1/5101974.Finally, GCF of Fractions for 3971/883, 4646/5778 is 1/5101974.