GCF of 4755/632, 2660/2786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4755/632, 2660/2786 i.e 5/880376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4755/632, 2660/2786.
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 4755/632,2660/2786?
Given fractions are 4755/632,2660/2786
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 4755/632,2660/2786, numerators are 4755,2660
Denominators are 632,2786
The GCF of 4755,2660 is 5 .
LCM of 632,2786 is 880376.
The greatest common factor of 4755/632,2660/2786 = [GCF of 4755,2660]/[LCM of 632,2786]= 5/880376
Therefore, the GCF of 4755/632,2660/2786 is 5/880376.
To find the highest common factor of 4755,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 4755 are 1, 3, 5, 15, 317, 951, 1585, 4755
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 4755,2660 is 5.
Lets's calculate GCF of 4755,2660
| 5 | 4755, 2660 |
| 951, 532 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4755,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 4755
:1,3,5,15,317,951,1585,4755
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 4755,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 4755,2660 is 5.
Lets's calculate LCM of 632,2786
| 2 | 632, 2786 |
| 316, 1393 |
∴ So the LCM of the given numbers is 2 x 316 x 1393 = 880376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/880376
Therefore, the GCF of Fractions 4755/632,2660/2786 is 5/880376
Least Common Multiple of 632,2786 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 632,2786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,2786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,2786) x common factors =2 x 1 = 2
LCM(632,2786) = ( 632 × 2786 ) / 2
LCM(632,2786) = 1760752 / 2
LCM(632,2786) = 880376
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FAQs on GCF of Fractions of 4755/632, 2660/2786
1. What is the HCF of 4755,2660?
The HCF of 4755,2660 is 5
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 4755/632, 2660/2786?
Answer: GCF of Numerators as per given numbers 4755/632, 2660/2786 is
GCF of Numerators i.e. for 4755,2660 is 5
LCM of denominators i.e. for 632,2786 is 880376.
Thus, GCF of Fractions is 5/880376.Finally, GCF of Fractions for 4755/632, 2660/2786 is 5/880376.