GCF of 6895/889, 4629/3951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6895/889, 4629/3951 i.e 1/3512439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6895/889, 4629/3951.
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 6895/889,4629/3951?
Given fractions are 6895/889,4629/3951
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 6895/889,4629/3951, numerators are 6895,4629
Denominators are 889,3951
The GCF of 6895,4629 is 1 .
LCM of 889,3951 is 3512439.
The greatest common factor of 6895/889,4629/3951 = [GCF of 6895,4629]/[LCM of 889,3951]= 1/3512439
Therefore, the GCF of 6895/889,4629/3951 is 1/3512439.
To find the highest common factor of 6895,4629, we have to find the factors of both numbers and list the highest common factor.
The factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895
The factors of 4629 are 1, 3, 1543, 4629
The HCF of 6895,4629 is 1.
Lets's calculate GCF of 6895,4629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6895,4629 By Matching Biggest Common Factor Method
Now, list down the factors of 6895
:1,5,7,35,197,985,1379,6895
Now, list down the factors of 4629
:1,3,1543,4629
Greatest Common Factor
We found the factors 6895,4629 . The biggest common factor number is the GCF number.
So the greatest common factor 6895,4629 is 1.
Lets's calculate LCM of 889,3951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3512439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3512439
Therefore, the GCF of Fractions 6895/889,4629/3951 is 1/3512439
Least Common Multiple of 889,3951 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 889,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,3951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,3951) x common factors =1 x 1 = 1
LCM(889,3951) = ( 889 × 3951 ) / 1
LCM(889,3951) = 3512439 / 1
LCM(889,3951) = 3512439
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FAQs on GCF of Fractions of 6895/889, 4629/3951
1. What is the HCF of 6895,4629?
The HCF of 6895,4629 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 6895/889, 4629/3951?
Answer: GCF of Numerators as per given numbers 6895/889, 4629/3951 is
GCF of Numerators i.e. for 6895,4629 is 1
LCM of denominators i.e. for 889,3951 is 3512439.
Thus, GCF of Fractions is 1/3512439.Finally, GCF of Fractions for 6895/889, 4629/3951 is 1/3512439.