GCF of 2899/657, 4662/7977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2899/657, 4662/7977 i.e 1/1746963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2899/657, 4662/7977.
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 2899/657,4662/7977?
Given fractions are 2899/657,4662/7977
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 2899/657,4662/7977, numerators are 2899,4662
Denominators are 657,7977
The GCF of 2899,4662 is 1 .
LCM of 657,7977 is 1746963.
The greatest common factor of 2899/657,4662/7977 = [GCF of 2899,4662]/[LCM of 657,7977]= 1/1746963
Therefore, the GCF of 2899/657,4662/7977 is 1/1746963.
To find the highest common factor of 2899,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 2899 are 1, 13, 223, 2899
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 2899,4662 is 1.
Lets's calculate GCF of 2899,4662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2899,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 2899
:1,13,223,2899
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 2899,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 2899,4662 is 1.
Lets's calculate LCM of 657,7977
| 3 | 657, 7977 |
| 219, 2659 |
∴ So the LCM of the given numbers is 3 x 219 x 2659 = 1746963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746963
Therefore, the GCF of Fractions 2899/657,4662/7977 is 1/1746963
Least Common Multiple of 657,7977 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 657,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,7977) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,7977) x common factors =3 x 1 = 3
LCM(657,7977) = ( 657 × 7977 ) / 3
LCM(657,7977) = 5240889 / 3
LCM(657,7977) = 1746963
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FAQs on GCF of Fractions of 2899/657, 4662/7977
1. What is the HCF of 2899,4662?
The HCF of 2899,4662 is 1
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 2899/657, 4662/7977?
Answer: GCF of Numerators as per given numbers 2899/657, 4662/7977 is
GCF of Numerators i.e. for 2899,4662 is 1
LCM of denominators i.e. for 657,7977 is 1746963.
Thus, GCF of Fractions is 1/1746963.Finally, GCF of Fractions for 2899/657, 4662/7977 is 1/1746963.