GCF of 3927/558, 2178/7755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3927/558, 2178/7755 i.e 33/1442430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3927/558, 2178/7755.
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 3927/558,2178/7755?
Given fractions are 3927/558,2178/7755
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 3927/558,2178/7755, numerators are 3927,2178
Denominators are 558,7755
The GCF of 3927,2178 is 33 .
LCM of 558,7755 is 1442430.
The greatest common factor of 3927/558,2178/7755 = [GCF of 3927,2178]/[LCM of 558,7755]= 33/1442430
Therefore, the GCF of 3927/558,2178/7755 is 33/1442430.
To find the highest common factor of 3927,2178, we have to find the factors of both numbers and list the highest common factor.
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178
The HCF of 3927,2178 is 33.
Lets's calculate GCF of 3927,2178
| 3 | 3927, 2178 |
| 11 | 1309, 726 |
| 119, 66 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 3927,2178 By Matching Biggest Common Factor Method
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Now, list down the factors of 2178
:1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178
Greatest Common Factor
We found the factors 3927,2178 . The biggest common factor number is the GCF number.
So the greatest common factor 3927,2178 is 33.
Lets's calculate LCM of 558,7755
| 3 | 558, 7755 |
| 186, 2585 |
∴ So the LCM of the given numbers is 3 x 186 x 2585 = 1442430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1442430
Therefore, the GCF of Fractions 3927/558,2178/7755 is 33/1442430
Least Common Multiple of 558,7755 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 558,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,7755) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(558,7755) x common factors =3 x 1 = 3
LCM(558,7755) = ( 558 × 7755 ) / 3
LCM(558,7755) = 4327290 / 3
LCM(558,7755) = 1442430
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FAQs on GCF of Fractions of 3927/558, 2178/7755
1. What is the HCF of 3927,2178?
The HCF of 3927,2178 is 33
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 3927/558, 2178/7755?
Answer: GCF of Numerators as per given numbers 3927/558, 2178/7755 is
GCF of Numerators i.e. for 3927,2178 is 33
LCM of denominators i.e. for 558,7755 is 1442430.
Thus, GCF of Fractions is 33/1442430.Finally, GCF of Fractions for 3927/558, 2178/7755 is 33/1442430.