GCF of 1535/706, 6117/3194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1535/706, 6117/3194 i.e 1/1127482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1535/706, 6117/3194.
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 1535/706,6117/3194?
Given fractions are 1535/706,6117/3194
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 1535/706,6117/3194, numerators are 1535,6117
Denominators are 706,3194
The GCF of 1535,6117 is 1 .
LCM of 706,3194 is 1127482.
The greatest common factor of 1535/706,6117/3194 = [GCF of 1535,6117]/[LCM of 706,3194]= 1/1127482
Therefore, the GCF of 1535/706,6117/3194 is 1/1127482.
To find the highest common factor of 1535,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 1535 are 1, 5, 307, 1535
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 1535,6117 is 1.
Lets's calculate GCF of 1535,6117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1535,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 1535
:1,5,307,1535
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 1535,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 1535,6117 is 1.
Lets's calculate LCM of 706,3194
| 2 | 706, 3194 |
| 353, 1597 |
∴ So the LCM of the given numbers is 2 x 353 x 1597 = 1127482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127482
Therefore, the GCF of Fractions 1535/706,6117/3194 is 1/1127482
Least Common Multiple of 706,3194 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 706,3194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,3194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,3194) x common factors =2 x 1 = 2
LCM(706,3194) = ( 706 × 3194 ) / 2
LCM(706,3194) = 2254964 / 2
LCM(706,3194) = 1127482
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1535/706, 6117/3194
1. What is the HCF of 1535,6117?
The HCF of 1535,6117 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 1535/706, 6117/3194?
Answer: GCF of Numerators as per given numbers 1535/706, 6117/3194 is
GCF of Numerators i.e. for 1535,6117 is 1
LCM of denominators i.e. for 706,3194 is 1127482.
Thus, GCF of Fractions is 1/1127482.Finally, GCF of Fractions for 1535/706, 6117/3194 is 1/1127482.