Use our free GCF of Fractions Calculator tool to compute the GCF of 3457/427, 8972/4781 i.e 1/291641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3457/427, 8972/4781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3457/427,8972/4781
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 3457/427,8972/4781, numerators are 3457,8972
Denominators are 427,4781
The GCF of 3457,8972 is 1 .
LCM of 427,4781 is 291641.
The greatest common factor of 3457/427,8972/4781 = [GCF of 3457,8972]/[LCM of 427,4781]= 1/291641
Therefore, the GCF of 3457/427,8972/4781 is 1/291641.
To find the highest common factor of 3457,8972, we have to find the factors of both numbers and list the highest common factor.
The factors of 3457 are 1, 3457
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The HCF of 3457,8972 is 1.
Lets's calculate GCF of 3457,8972
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3457
:1,3457
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Greatest Common Factor
We found the factors 3457,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 3457,8972 is 1.
Lets's calculate LCM of 427,4781
7 | 427, 4781 |
61, 683 |
∴ So the LCM of the given numbers is 7 x 61 x 683 = 291641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291641
Therefore, the GCF of Fractions 3457/427,8972/4781 is 1/291641
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 427,4781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,4781) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,4781) x common factors =7 x 1 = 7
LCM(427,4781) = ( 427 × 4781 ) / 7
LCM(427,4781) = 2041487 / 7
LCM(427,4781) = 291641
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3457,8972?
The HCF of 3457,8972 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 3457/427, 8972/4781?
Answer: GCF of Numerators as per given numbers 3457/427, 8972/4781 is
GCF of Numerators i.e. for 3457,8972 is 1
LCM of denominators i.e. for 427,4781 is 291641.
Thus, GCF of Fractions is 1/291641.Finally, GCF of Fractions for 3457/427, 8972/4781 is 1/291641.