GCF of 6539/852, 1094/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6539/852, 1094/450 i.e 1/63900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6539/852, 1094/450.
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 6539/852,1094/450?
Given fractions are 6539/852,1094/450
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 6539/852,1094/450, numerators are 6539,1094
Denominators are 852,450
The GCF of 6539,1094 is 1 .
LCM of 852,450 is 63900.
The greatest common factor of 6539/852,1094/450 = [GCF of 6539,1094]/[LCM of 852,450]= 1/63900
Therefore, the GCF of 6539/852,1094/450 is 1/63900.
To find the highest common factor of 6539,1094, we have to find the factors of both numbers and list the highest common factor.
The factors of 6539 are 1, 13, 503, 6539
The factors of 1094 are 1, 2, 547, 1094
The HCF of 6539,1094 is 1.
Lets's calculate GCF of 6539,1094
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6539,1094 By Matching Biggest Common Factor Method
Now, list down the factors of 6539
:1,13,503,6539
Now, list down the factors of 1094
:1,2,547,1094
Greatest Common Factor
We found the factors 6539,1094 . The biggest common factor number is the GCF number.
So the greatest common factor 6539,1094 is 1.
Lets's calculate LCM of 852,450
| 2 | 852, 450 |
| 3 | 426, 225 |
| 142, 75 |
∴ So the LCM of the given numbers is 2 x 3 x 142 x 75 = 63900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63900
Therefore, the GCF of Fractions 6539/852,1094/450 is 1/63900
Least Common Multiple of 852,450 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 852,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,450) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(852,450) x common factors =6 x 1 = 6
LCM(852,450) = ( 852 × 450 ) / 6
LCM(852,450) = 383400 / 6
LCM(852,450) = 63900
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FAQs on GCF of Fractions of 6539/852, 1094/450
1. What is the HCF of 6539,1094?
The HCF of 6539,1094 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 6539/852, 1094/450?
Answer: GCF of Numerators as per given numbers 6539/852, 1094/450 is
GCF of Numerators i.e. for 6539,1094 is 1
LCM of denominators i.e. for 852,450 is 63900.
Thus, GCF of Fractions is 1/63900.Finally, GCF of Fractions for 6539/852, 1094/450 is 1/63900.