GCF of 6935/272, 3514/4326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6935/272, 3514/4326 i.e 1/588336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6935/272, 3514/4326.
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 6935/272,3514/4326?
Given fractions are 6935/272,3514/4326
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 6935/272,3514/4326, numerators are 6935,3514
Denominators are 272,4326
The GCF of 6935,3514 is 1 .
LCM of 272,4326 is 588336.
The greatest common factor of 6935/272,3514/4326 = [GCF of 6935,3514]/[LCM of 272,4326]= 1/588336
Therefore, the GCF of 6935/272,3514/4326 is 1/588336.
To find the highest common factor of 6935,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 6935,3514 is 1.
Lets's calculate GCF of 6935,3514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6935,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 6935
:1,5,19,73,95,365,1387,6935
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 6935,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 6935,3514 is 1.
Lets's calculate LCM of 272,4326
| 2 | 272, 4326 |
| 136, 2163 |
∴ So the LCM of the given numbers is 2 x 136 x 2163 = 588336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588336
Therefore, the GCF of Fractions 6935/272,3514/4326 is 1/588336
Least Common Multiple of 272,4326 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 272,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,4326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,4326) x common factors =2 x 1 = 2
LCM(272,4326) = ( 272 × 4326 ) / 2
LCM(272,4326) = 1176672 / 2
LCM(272,4326) = 588336
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FAQs on GCF of Fractions of 6935/272, 3514/4326
1. What is the HCF of 6935,3514?
The HCF of 6935,3514 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 6935/272, 3514/4326?
Answer: GCF of Numerators as per given numbers 6935/272, 3514/4326 is
GCF of Numerators i.e. for 6935,3514 is 1
LCM of denominators i.e. for 272,4326 is 588336.
Thus, GCF of Fractions is 1/588336.Finally, GCF of Fractions for 6935/272, 3514/4326 is 1/588336.