GCF of 2760/213, 7852/156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2760/213, 7852/156 i.e 4/11076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2760/213, 7852/156.
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 2760/213,7852/156?
Given fractions are 2760/213,7852/156
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 2760/213,7852/156, numerators are 2760,7852
Denominators are 213,156
The GCF of 2760,7852 is 4 .
LCM of 213,156 is 11076.
The greatest common factor of 2760/213,7852/156 = [GCF of 2760,7852]/[LCM of 213,156]= 4/11076
Therefore, the GCF of 2760/213,7852/156 is 4/11076.
To find the highest common factor of 2760,7852, we have to find the factors of both numbers and list the highest common factor.
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852
The HCF of 2760,7852 is 4.
Lets's calculate GCF of 2760,7852
| 2 | 2760, 7852 |
| 2 | 1380, 3926 |
| 690, 1963 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2760,7852 By Matching Biggest Common Factor Method
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Now, list down the factors of 7852
:1,2,4,13,26,52,151,302,604,1963,3926,7852
Greatest Common Factor
We found the factors 2760,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,7852 is 4.
Lets's calculate LCM of 213,156
| 3 | 213, 156 |
| 71, 52 |
∴ So the LCM of the given numbers is 3 x 71 x 52 = 11076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11076
Therefore, the GCF of Fractions 2760/213,7852/156 is 4/11076
Least Common Multiple of 213,156 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 213,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,156) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,156) x common factors =3 x 1 = 3
LCM(213,156) = ( 213 × 156 ) / 3
LCM(213,156) = 33228 / 3
LCM(213,156) = 11076
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FAQs on GCF of Fractions of 2760/213, 7852/156
1. What is the HCF of 2760,7852?
The HCF of 2760,7852 is 4
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 2760/213, 7852/156?
Answer: GCF of Numerators as per given numbers 2760/213, 7852/156 is
GCF of Numerators i.e. for 2760,7852 is 4
LCM of denominators i.e. for 213,156 is 11076.
Thus, GCF of Fractions is 4/11076.Finally, GCF of Fractions for 2760/213, 7852/156 is 4/11076.