GCF of 1799/626, 2779/659
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1799/626, 2779/659 i.e 7/412534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1799/626, 2779/659.
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 1799/626,2779/659?
Given fractions are 1799/626,2779/659
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 1799/626,2779/659, numerators are 1799,2779
Denominators are 626,659
The GCF of 1799,2779 is 7 .
LCM of 626,659 is 412534.
The greatest common factor of 1799/626,2779/659 = [GCF of 1799,2779]/[LCM of 626,659]= 7/412534
Therefore, the GCF of 1799/626,2779/659 is 7/412534.
To find the highest common factor of 1799,2779, we have to find the factors of both numbers and list the highest common factor.
The factors of 1799 are 1, 7, 257, 1799
The factors of 2779 are 1, 7, 397, 2779
The HCF of 1799,2779 is 7.
Lets's calculate GCF of 1799,2779
| 7 | 1799, 2779 |
| 257, 397 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1799,2779 By Matching Biggest Common Factor Method
Now, list down the factors of 1799
:1,7,257,1799
Now, list down the factors of 2779
:1,7,397,2779
Greatest Common Factor
We found the factors 1799,2779 . The biggest common factor number is the GCF number.
So the greatest common factor 1799,2779 is 7.
Lets's calculate LCM of 626,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 412534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/412534
Therefore, the GCF of Fractions 1799/626,2779/659 is 7/412534
Least Common Multiple of 626,659 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 626,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,659) x common factors =1 x 1 = 1
LCM(626,659) = ( 626 × 659 ) / 1
LCM(626,659) = 412534 / 1
LCM(626,659) = 412534
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FAQs on GCF of Fractions of 1799/626, 2779/659
1. What is the HCF of 1799,2779?
The HCF of 1799,2779 is 7
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 1799/626, 2779/659?
Answer: GCF of Numerators as per given numbers 1799/626, 2779/659 is
GCF of Numerators i.e. for 1799,2779 is 7
LCM of denominators i.e. for 626,659 is 412534.
Thus, GCF of Fractions is 7/412534.Finally, GCF of Fractions for 1799/626, 2779/659 is 7/412534.