GCF of 6719/275, 6235/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6719/275, 6235/693 i.e 1/17325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6719/275, 6235/693.
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 6719/275,6235/693?
Given fractions are 6719/275,6235/693
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 6719/275,6235/693, numerators are 6719,6235
Denominators are 275,693
The GCF of 6719,6235 is 1 .
LCM of 275,693 is 17325.
The greatest common factor of 6719/275,6235/693 = [GCF of 6719,6235]/[LCM of 275,693]= 1/17325
Therefore, the GCF of 6719/275,6235/693 is 1/17325.
To find the highest common factor of 6719,6235, we have to find the factors of both numbers and list the highest common factor.
The factors of 6719 are 1, 6719
The factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235
The HCF of 6719,6235 is 1.
Lets's calculate GCF of 6719,6235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6719,6235 By Matching Biggest Common Factor Method
Now, list down the factors of 6719
:1,6719
Now, list down the factors of 6235
:1,5,29,43,145,215,1247,6235
Greatest Common Factor
We found the factors 6719,6235 . The biggest common factor number is the GCF number.
So the greatest common factor 6719,6235 is 1.
Lets's calculate LCM of 275,693
| 11 | 275, 693 |
| 25, 63 |
∴ So the LCM of the given numbers is 11 x 25 x 63 = 17325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17325
Therefore, the GCF of Fractions 6719/275,6235/693 is 1/17325
Least Common Multiple of 275,693 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 275,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,693) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,693) x common factors =11 x 1 = 11
LCM(275,693) = ( 275 × 693 ) / 11
LCM(275,693) = 190575 / 11
LCM(275,693) = 17325
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FAQs on GCF of Fractions of 6719/275, 6235/693
1. What is the HCF of 6719,6235?
The HCF of 6719,6235 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 6719/275, 6235/693?
Answer: GCF of Numerators as per given numbers 6719/275, 6235/693 is
GCF of Numerators i.e. for 6719,6235 is 1
LCM of denominators i.e. for 275,693 is 17325.
Thus, GCF of Fractions is 1/17325.Finally, GCF of Fractions for 6719/275, 6235/693 is 1/17325.