Use our free GCF of Fractions Calculator tool to compute the GCF of 970/525, 530/924 i.e 10/23100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/525, 530/924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/525,530/924
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 970/525,530/924, numerators are 970,530
Denominators are 525,924
The GCF of 970,530 is 10 .
LCM of 525,924 is 23100.
The greatest common factor of 970/525,530/924 = [GCF of 970,530]/[LCM of 525,924]= 10/23100
Therefore, the GCF of 970/525,530/924 is 10/23100.
To find the highest common factor of 970,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 970,530 is 10.
Lets's calculate GCF of 970,530
2 | 970, 530 |
5 | 485, 265 |
97, 53 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 970,530 . The biggest common factor number is the GCF number.
So the greatest common factor 970,530 is 10.
Lets's calculate LCM of 525,924
3 | 525, 924 |
7 | 175, 308 |
25, 44 |
∴ So the LCM of the given numbers is 3 x 7 x 25 x 44 = 23100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/23100
Therefore, the GCF of Fractions 970/525,530/924 is 10/23100
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 525,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,924) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(525,924) x common factors =21 x 1 = 21
LCM(525,924) = ( 525 × 924 ) / 21
LCM(525,924) = 485100 / 21
LCM(525,924) = 23100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 970,530?
The HCF of 970,530 is 10
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 970/525, 530/924?
Answer: GCF of Numerators as per given numbers 970/525, 530/924 is
GCF of Numerators i.e. for 970,530 is 10
LCM of denominators i.e. for 525,924 is 23100.
Thus, GCF of Fractions is 10/23100.Finally, GCF of Fractions for 970/525, 530/924 is 10/23100.