GCF of 5277/252, 2070/9178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5277/252, 2070/9178 i.e 3/1156428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5277/252, 2070/9178.
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 5277/252,2070/9178?
Given fractions are 5277/252,2070/9178
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 5277/252,2070/9178, numerators are 5277,2070
Denominators are 252,9178
The GCF of 5277,2070 is 3 .
LCM of 252,9178 is 1156428.
The greatest common factor of 5277/252,2070/9178 = [GCF of 5277,2070]/[LCM of 252,9178]= 3/1156428
Therefore, the GCF of 5277/252,2070/9178 is 3/1156428.
To find the highest common factor of 5277,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 5277 are 1, 3, 1759, 5277
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 5277,2070 is 3.
Lets's calculate GCF of 5277,2070
| 3 | 5277, 2070 |
| 1759, 690 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5277,2070 By Matching Biggest Common Factor Method
Now, list down the factors of 5277
:1,3,1759,5277
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 5277,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 5277,2070 is 3.
Lets's calculate LCM of 252,9178
| 2 | 252, 9178 |
| 126, 4589 |
∴ So the LCM of the given numbers is 2 x 126 x 4589 = 1156428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1156428
Therefore, the GCF of Fractions 5277/252,2070/9178 is 3/1156428
Least Common Multiple of 252,9178 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 252,9178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,9178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(252,9178) x common factors =2 x 1 = 2
LCM(252,9178) = ( 252 × 9178 ) / 2
LCM(252,9178) = 2312856 / 2
LCM(252,9178) = 1156428
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FAQs on GCF of Fractions of 5277/252, 2070/9178
1. What is the HCF of 5277,2070?
The HCF of 5277,2070 is 3
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 5277/252, 2070/9178?
Answer: GCF of Numerators as per given numbers 5277/252, 2070/9178 is
GCF of Numerators i.e. for 5277,2070 is 3
LCM of denominators i.e. for 252,9178 is 1156428.
Thus, GCF of Fractions is 3/1156428.Finally, GCF of Fractions for 5277/252, 2070/9178 is 3/1156428.