GCF of 7709/668, 7549/3438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7709/668, 7549/3438 i.e 1/1148292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7709/668, 7549/3438.
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 7709/668,7549/3438?
Given fractions are 7709/668,7549/3438
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 7709/668,7549/3438, numerators are 7709,7549
Denominators are 668,3438
The GCF of 7709,7549 is 1 .
LCM of 668,3438 is 1148292.
The greatest common factor of 7709/668,7549/3438 = [GCF of 7709,7549]/[LCM of 668,3438]= 1/1148292
Therefore, the GCF of 7709/668,7549/3438 is 1/1148292.
To find the highest common factor of 7709,7549, we have to find the factors of both numbers and list the highest common factor.
The factors of 7709 are 1, 13, 593, 7709
The factors of 7549 are 1, 7549
The HCF of 7709,7549 is 1.
Lets's calculate GCF of 7709,7549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7709,7549 By Matching Biggest Common Factor Method
Now, list down the factors of 7709
:1,13,593,7709
Now, list down the factors of 7549
:1,7549
Greatest Common Factor
We found the factors 7709,7549 . The biggest common factor number is the GCF number.
So the greatest common factor 7709,7549 is 1.
Lets's calculate LCM of 668,3438
| 2 | 668, 3438 |
| 334, 1719 |
∴ So the LCM of the given numbers is 2 x 334 x 1719 = 1148292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1148292
Therefore, the GCF of Fractions 7709/668,7549/3438 is 1/1148292
Least Common Multiple of 668,3438 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 668,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,3438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,3438) x common factors =2 x 1 = 2
LCM(668,3438) = ( 668 × 3438 ) / 2
LCM(668,3438) = 2296584 / 2
LCM(668,3438) = 1148292
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7709/668, 7549/3438
1. What is the HCF of 7709,7549?
The HCF of 7709,7549 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 7709/668, 7549/3438?
Answer: GCF of Numerators as per given numbers 7709/668, 7549/3438 is
GCF of Numerators i.e. for 7709,7549 is 1
LCM of denominators i.e. for 668,3438 is 1148292.
Thus, GCF of Fractions is 1/1148292.Finally, GCF of Fractions for 7709/668, 7549/3438 is 1/1148292.