GCF of 2375/744, 7906/4643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2375/744, 7906/4643 i.e 1/3454392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2375/744, 7906/4643.
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 2375/744,7906/4643?
Given fractions are 2375/744,7906/4643
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 2375/744,7906/4643, numerators are 2375,7906
Denominators are 744,4643
The GCF of 2375,7906 is 1 .
LCM of 744,4643 is 3454392.
The greatest common factor of 2375/744,7906/4643 = [GCF of 2375,7906]/[LCM of 744,4643]= 1/3454392
Therefore, the GCF of 2375/744,7906/4643 is 1/3454392.
To find the highest common factor of 2375,7906, we have to find the factors of both numbers and list the highest common factor.
The factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The HCF of 2375,7906 is 1.
Lets's calculate GCF of 2375,7906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2375,7906 By Matching Biggest Common Factor Method
Now, list down the factors of 2375
:1,5,19,25,95,125,475,2375
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Greatest Common Factor
We found the factors 2375,7906 . The biggest common factor number is the GCF number.
So the greatest common factor 2375,7906 is 1.
Lets's calculate LCM of 744,4643
Given numbers has no common factors except 1. So, there LCM is their product i.e 3454392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3454392
Therefore, the GCF of Fractions 2375/744,7906/4643 is 1/3454392
Least Common Multiple of 744,4643 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 744,4643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,4643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(744,4643) x common factors =1 x 1 = 1
LCM(744,4643) = ( 744 × 4643 ) / 1
LCM(744,4643) = 3454392 / 1
LCM(744,4643) = 3454392
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2375/744, 7906/4643
1. What is the HCF of 2375,7906?
The HCF of 2375,7906 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 2375/744, 7906/4643?
Answer: GCF of Numerators as per given numbers 2375/744, 7906/4643 is
GCF of Numerators i.e. for 2375,7906 is 1
LCM of denominators i.e. for 744,4643 is 3454392.
Thus, GCF of Fractions is 1/3454392.Finally, GCF of Fractions for 2375/744, 7906/4643 is 1/3454392.