GCF of 5072/873, 5342/1689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5072/873, 5342/1689 i.e 2/491499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5072/873, 5342/1689.
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 5072/873,5342/1689?
Given fractions are 5072/873,5342/1689
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 5072/873,5342/1689, numerators are 5072,5342
Denominators are 873,1689
The GCF of 5072,5342 is 2 .
LCM of 873,1689 is 491499.
The greatest common factor of 5072/873,5342/1689 = [GCF of 5072,5342]/[LCM of 873,1689]= 2/491499
Therefore, the GCF of 5072/873,5342/1689 is 2/491499.
To find the highest common factor of 5072,5342, we have to find the factors of both numbers and list the highest common factor.
The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072
The factors of 5342 are 1, 2, 2671, 5342
The HCF of 5072,5342 is 2.
Lets's calculate GCF of 5072,5342
| 2 | 5072, 5342 |
| 2536, 2671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5072,5342 By Matching Biggest Common Factor Method
Now, list down the factors of 5072
:1,2,4,8,16,317,634,1268,2536,5072
Now, list down the factors of 5342
:1,2,2671,5342
Greatest Common Factor
We found the factors 5072,5342 . The biggest common factor number is the GCF number.
So the greatest common factor 5072,5342 is 2.
Lets's calculate LCM of 873,1689
| 3 | 873, 1689 |
| 291, 563 |
∴ So the LCM of the given numbers is 3 x 291 x 563 = 491499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/491499
Therefore, the GCF of Fractions 5072/873,5342/1689 is 2/491499
Least Common Multiple of 873,1689 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 873,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,1689) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,1689) x common factors =3 x 1 = 3
LCM(873,1689) = ( 873 × 1689 ) / 3
LCM(873,1689) = 1474497 / 3
LCM(873,1689) = 491499
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FAQs on GCF of Fractions of 5072/873, 5342/1689
1. What is the HCF of 5072,5342?
The HCF of 5072,5342 is 2
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 5072/873, 5342/1689?
Answer: GCF of Numerators as per given numbers 5072/873, 5342/1689 is
GCF of Numerators i.e. for 5072,5342 is 2
LCM of denominators i.e. for 873,1689 is 491499.
Thus, GCF of Fractions is 2/491499.Finally, GCF of Fractions for 5072/873, 5342/1689 is 2/491499.