GCF of 1796/276, 1599/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1796/276, 1599/814 i.e 1/112332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1796/276, 1599/814.
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 1796/276,1599/814?
Given fractions are 1796/276,1599/814
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 1796/276,1599/814, numerators are 1796,1599
Denominators are 276,814
The GCF of 1796,1599 is 1 .
LCM of 276,814 is 112332.
The greatest common factor of 1796/276,1599/814 = [GCF of 1796,1599]/[LCM of 276,814]= 1/112332
Therefore, the GCF of 1796/276,1599/814 is 1/112332.
To find the highest common factor of 1796,1599, we have to find the factors of both numbers and list the highest common factor.
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599
The HCF of 1796,1599 is 1.
Lets's calculate GCF of 1796,1599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1796,1599 By Matching Biggest Common Factor Method
Now, list down the factors of 1796
:1,2,4,449,898,1796
Now, list down the factors of 1599
:1,3,13,39,41,123,533,1599
Greatest Common Factor
We found the factors 1796,1599 . The biggest common factor number is the GCF number.
So the greatest common factor 1796,1599 is 1.
Lets's calculate LCM of 276,814
| 2 | 276, 814 |
| 138, 407 |
∴ So the LCM of the given numbers is 2 x 138 x 407 = 112332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112332
Therefore, the GCF of Fractions 1796/276,1599/814 is 1/112332
Least Common Multiple of 276,814 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 276,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(276,814) x common factors =2 x 1 = 2
LCM(276,814) = ( 276 × 814 ) / 2
LCM(276,814) = 224664 / 2
LCM(276,814) = 112332
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FAQs on GCF of Fractions of 1796/276, 1599/814
1. What is the HCF of 1796,1599?
The HCF of 1796,1599 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 1796/276, 1599/814?
Answer: GCF of Numerators as per given numbers 1796/276, 1599/814 is
GCF of Numerators i.e. for 1796,1599 is 1
LCM of denominators i.e. for 276,814 is 112332.
Thus, GCF of Fractions is 1/112332.Finally, GCF of Fractions for 1796/276, 1599/814 is 1/112332.