GCF of 156/57, 975/2253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/57, 975/2253 i.e 39/42807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/57, 975/2253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 156/57,975/2253?
Given fractions are 156/57,975/2253
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 156/57,975/2253, numerators are 156,975
Denominators are 57,2253
The GCF of 156,975 is 39 .
LCM of 57,2253 is 42807.
The greatest common factor of 156/57,975/2253 = [GCF of 156,975]/[LCM of 57,2253]= 39/42807
Therefore, the GCF of 156/57,975/2253 is 39/42807.
To find the highest common factor of 156,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 156,975 is 39.
Lets's calculate GCF of 156,975
| 3 | 156, 975 |
| 13 | 52, 325 |
| 4, 25 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 156,975 By Matching Biggest Common Factor Method
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 156,975 . The biggest common factor number is the GCF number.
So the greatest common factor 156,975 is 39.
Lets's calculate LCM of 57,2253
| 3 | 57, 2253 |
| 19, 751 |
∴ So the LCM of the given numbers is 3 x 19 x 751 = 42807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/42807
Therefore, the GCF of Fractions 156/57,975/2253 is 39/42807
Least Common Multiple of 57,2253 with GCF Formula
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 57,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,2253) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,2253) x common factors =3 x 1 = 3
LCM(57,2253) = ( 57 × 2253 ) / 3
LCM(57,2253) = 128421 / 3
LCM(57,2253) = 42807
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FAQs on GCF of Fractions of 156/57, 975/2253
1. What is the HCF of 156,975?
The HCF of 156,975 is 39
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 156/57, 975/2253?
Answer: GCF of Numerators as per given numbers 156/57, 975/2253 is
GCF of Numerators i.e. for 156,975 is 39
LCM of denominators i.e. for 57,2253 is 42807.
Thus, GCF of Fractions is 39/42807.Finally, GCF of Fractions for 156/57, 975/2253 is 39/42807.