GCF of 5709/207, 7362/9624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5709/207, 7362/9624 i.e 3/664056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5709/207, 7362/9624.
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 5709/207,7362/9624?
Given fractions are 5709/207,7362/9624
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 5709/207,7362/9624, numerators are 5709,7362
Denominators are 207,9624
The GCF of 5709,7362 is 3 .
LCM of 207,9624 is 664056.
The greatest common factor of 5709/207,7362/9624 = [GCF of 5709,7362]/[LCM of 207,9624]= 3/664056
Therefore, the GCF of 5709/207,7362/9624 is 3/664056.
To find the highest common factor of 5709,7362, we have to find the factors of both numbers and list the highest common factor.
The factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The HCF of 5709,7362 is 3.
Lets's calculate GCF of 5709,7362
| 3 | 5709, 7362 |
| 1903, 2454 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5709,7362 By Matching Biggest Common Factor Method
Now, list down the factors of 5709
:1,3,11,33,173,519,1903,5709
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Greatest Common Factor
We found the factors 5709,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 5709,7362 is 3.
Lets's calculate LCM of 207,9624
| 3 | 207, 9624 |
| 69, 3208 |
∴ So the LCM of the given numbers is 3 x 69 x 3208 = 664056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/664056
Therefore, the GCF of Fractions 5709/207,7362/9624 is 3/664056
Least Common Multiple of 207,9624 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 207,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,9624) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,9624) x common factors =3 x 1 = 3
LCM(207,9624) = ( 207 × 9624 ) / 3
LCM(207,9624) = 1992168 / 3
LCM(207,9624) = 664056
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FAQs on GCF of Fractions of 5709/207, 7362/9624
1. What is the HCF of 5709,7362?
The HCF of 5709,7362 is 3
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 5709/207, 7362/9624?
Answer: GCF of Numerators as per given numbers 5709/207, 7362/9624 is
GCF of Numerators i.e. for 5709,7362 is 3
LCM of denominators i.e. for 207,9624 is 664056.
Thus, GCF of Fractions is 3/664056.Finally, GCF of Fractions for 5709/207, 7362/9624 is 3/664056.