Use our free GCF of Fractions Calculator tool to compute the GCF of 95/267, 63/710, 757/994 i.e 1/1326990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/267, 63/710, 757/994.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/267,63/710,757/994
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 95/267,63/710,757/994, numerators are 95,63,757
Denominators are 267,710,994
The GCF of 95,63,757 is 1 .
LCM of 267,710,994 is 1326990.
The greatest common factor of 95/267,63/710,757/994 = [GCF of 95,63,757]/[LCM of 267,710,994]= 1/1326990
Therefore, the GCF of 95/267,63/710,757/994 is 1/1326990.
To find the highest common factor of 95,63,757, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 757 are 1, 757
The HCF of 95,63,757 is 1.
Lets's calculate GCF of 95,63,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 757
:1,757
Greatest Common Factor
We found the factors 95,63,757 . The biggest common factor number is the GCF number.
So the greatest common factor 95,63,757 is 1.
Lets's calculate LCM of 267,710,994
2 | 267, 710, 994 |
71 | 267, 355, 497 |
267, 5, 7 |
∴ So the LCM of the given numbers is 2 x 71 x 267 x 5 x 7 = 1326990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326990
Therefore, the GCF of Fractions 95/267,63/710,757/994 is 1/1326990
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 267,710,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,710,994) = 1
common factors(in case of two or more numbers have common factors) = 142
GCF(267,710,994) x common factors =1 x 142 = 142
LCM(267,710,994) = ( 267 × 710 × 994 ) / 142
LCM(267,710,994) = 188432580 / 142
LCM(267,710,994) = 1326990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,63,757?
The HCF of 95,63,757 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 95/267, 63/710, 757/994?
Answer: GCF of Numerators as per given numbers 95/267, 63/710, 757/994 is
GCF of Numerators i.e. for 95,63,757 is 1
LCM of denominators i.e. for 267,710,994 is 1326990.
Thus, GCF of Fractions is 1/1326990.Finally, GCF of Fractions for 95/267, 63/710, 757/994 is 1/1326990.