GCF of 851/806, 874/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/806, 874/539 i.e 23/434434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/806, 874/539.
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 851/806,874/539?
Given fractions are 851/806,874/539
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 851/806,874/539, numerators are 851,874
Denominators are 806,539
The GCF of 851,874 is 23 .
LCM of 806,539 is 434434.
The greatest common factor of 851/806,874/539 = [GCF of 851,874]/[LCM of 806,539]= 23/434434
Therefore, the GCF of 851/806,874/539 is 23/434434.
To find the highest common factor of 851,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 851,874 is 23.
Lets's calculate GCF of 851,874
| 23 | 851, 874 |
| 37, 38 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 851,874 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 851,874 . The biggest common factor number is the GCF number.
So the greatest common factor 851,874 is 23.
Lets's calculate LCM of 806,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 434434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/434434
Therefore, the GCF of Fractions 851/806,874/539 is 23/434434
Least Common Multiple of 806,539 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 806,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,539) x common factors =1 x 1 = 1
LCM(806,539) = ( 806 × 539 ) / 1
LCM(806,539) = 434434 / 1
LCM(806,539) = 434434
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FAQs on GCF of Fractions of 851/806, 874/539
1. What is the HCF of 851,874?
The HCF of 851,874 is 23
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 851/806, 874/539?
Answer: GCF of Numerators as per given numbers 851/806, 874/539 is
GCF of Numerators i.e. for 851,874 is 23
LCM of denominators i.e. for 806,539 is 434434.
Thus, GCF of Fractions is 23/434434.Finally, GCF of Fractions for 851/806, 874/539 is 23/434434.