Use our free GCF of Fractions Calculator tool to compute the GCF of 2/35, 97/95, 34/951, 491/671 i.e 1/424350465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/35, 97/95, 34/951, 491/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/35,97/95,34/951,491/671
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 2/35,97/95,34/951,491/671, numerators are 2,97,34,491
Denominators are 35,95,951,671
The GCF of 2,97,34,491 is 1 .
LCM of 35,95,951,671 is 424350465.
The greatest common factor of 2/35,97/95,34/951,491/671 = [GCF of 2,97,34,491]/[LCM of 35,95,951,671]= 1/424350465
Therefore, the GCF of 2/35,97/95,34/951,491/671 is 1/424350465.
To find the highest common factor of 2,97,34,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 97 are 1, 97
The factors of 34 are 1, 2, 17, 34
The factors of 491 are 1, 491
The HCF of 2,97,34,491 is 1.
Lets's calculate GCF of 2,97,34,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2
:1,2
Now, list down the factors of 97
:1,97
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 2,97,34,491 . The biggest common factor number is the GCF number.
So the greatest common factor 2,97,34,491 is 1.
Lets's calculate LCM of 35,95,951,671
5 | 35, 95, 951, 671 |
7, 19, 951, 671 |
∴ So the LCM of the given numbers is 5 x 7 x 19 x 951 x 671 = 424350465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424350465
Therefore, the GCF of Fractions 2/35,97/95,34/951,491/671 is 1/424350465
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 35,95,951,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,95,951,671) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,95,951,671) x common factors =1 x 5 = 5
LCM(35,95,951,671) = ( 35 × 95 × 951 × 671 ) / 5
LCM(35,95,951,671) = 2121752325 / 5
LCM(35,95,951,671) = 424350465
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2,97,34,491?
The HCF of 2,97,34,491 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 2/35, 97/95, 34/951, 491/671?
Answer: GCF of Numerators as per given numbers 2/35, 97/95, 34/951, 491/671 is
GCF of Numerators i.e. for 2,97,34,491 is 1
LCM of denominators i.e. for 35,95,951,671 is 424350465.
Thus, GCF of Fractions is 1/424350465.Finally, GCF of Fractions for 2/35, 97/95, 34/951, 491/671 is 1/424350465.