GCF of 3664/840, 8253/9709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3664/840, 8253/9709 i.e 1/1165080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3664/840, 8253/9709.
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 3664/840,8253/9709?
Given fractions are 3664/840,8253/9709
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 3664/840,8253/9709, numerators are 3664,8253
Denominators are 840,9709
The GCF of 3664,8253 is 1 .
LCM of 840,9709 is 1165080.
The greatest common factor of 3664/840,8253/9709 = [GCF of 3664,8253]/[LCM of 840,9709]= 1/1165080
Therefore, the GCF of 3664/840,8253/9709 is 1/1165080.
To find the highest common factor of 3664,8253, we have to find the factors of both numbers and list the highest common factor.
The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664
The factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253
The HCF of 3664,8253 is 1.
Lets's calculate GCF of 3664,8253
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3664,8253 By Matching Biggest Common Factor Method
Now, list down the factors of 3664
:1,2,4,8,16,229,458,916,1832,3664
Now, list down the factors of 8253
:1,3,7,9,21,63,131,393,917,1179,2751,8253
Greatest Common Factor
We found the factors 3664,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 3664,8253 is 1.
Lets's calculate LCM of 840,9709
| 7 | 840, 9709 |
| 120, 1387 |
∴ So the LCM of the given numbers is 7 x 120 x 1387 = 1165080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165080
Therefore, the GCF of Fractions 3664/840,8253/9709 is 1/1165080
Least Common Multiple of 840,9709 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 840,9709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,9709) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(840,9709) x common factors =7 x 1 = 7
LCM(840,9709) = ( 840 × 9709 ) / 7
LCM(840,9709) = 8155560 / 7
LCM(840,9709) = 1165080
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FAQs on GCF of Fractions of 3664/840, 8253/9709
1. What is the HCF of 3664,8253?
The HCF of 3664,8253 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 3664/840, 8253/9709?
Answer: GCF of Numerators as per given numbers 3664/840, 8253/9709 is
GCF of Numerators i.e. for 3664,8253 is 1
LCM of denominators i.e. for 840,9709 is 1165080.
Thus, GCF of Fractions is 1/1165080.Finally, GCF of Fractions for 3664/840, 8253/9709 is 1/1165080.