Use our free GCF of Fractions Calculator tool to compute the GCF of 21/47, 901/97, 948/252 i.e 1/1148868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/47, 901/97, 948/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/47,901/97,948/252
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 21/47,901/97,948/252, numerators are 21,901,948
Denominators are 47,97,252
The GCF of 21,901,948 is 1 .
LCM of 47,97,252 is 1148868.
The greatest common factor of 21/47,901/97,948/252 = [GCF of 21,901,948]/[LCM of 47,97,252]= 1/1148868
Therefore, the GCF of 21/47,901/97,948/252 is 1/1148868.
To find the highest common factor of 21,901,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 901 are 1, 17, 53, 901
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 21,901,948 is 1.
Lets's calculate GCF of 21,901,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 21,901,948 . The biggest common factor number is the GCF number.
So the greatest common factor 21,901,948 is 1.
Lets's calculate LCM of 47,97,252
Given numbers has no common factors except 1. So, there LCM is their product i.e 1148868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1148868
Therefore, the GCF of Fractions 21/47,901/97,948/252 is 1/1148868
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 47,97,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,97,252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,97,252) x common factors =1 x 1 = 1
LCM(47,97,252) = ( 47 × 97 × 252 ) / 1
LCM(47,97,252) = 1148868 / 1
LCM(47,97,252) = 1148868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,901,948?
The HCF of 21,901,948 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 21/47, 901/97, 948/252?
Answer: GCF of Numerators as per given numbers 21/47, 901/97, 948/252 is
GCF of Numerators i.e. for 21,901,948 is 1
LCM of denominators i.e. for 47,97,252 is 1148868.
Thus, GCF of Fractions is 1/1148868.Finally, GCF of Fractions for 21/47, 901/97, 948/252 is 1/1148868.