GCF of 5649/696, 9205/8344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5649/696, 9205/8344 i.e 7/725928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5649/696, 9205/8344.
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 5649/696,9205/8344?
Given fractions are 5649/696,9205/8344
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 5649/696,9205/8344, numerators are 5649,9205
Denominators are 696,8344
The GCF of 5649,9205 is 7 .
LCM of 696,8344 is 725928.
The greatest common factor of 5649/696,9205/8344 = [GCF of 5649,9205]/[LCM of 696,8344]= 7/725928
Therefore, the GCF of 5649/696,9205/8344 is 7/725928.
To find the highest common factor of 5649,9205, we have to find the factors of both numbers and list the highest common factor.
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
The factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205
The HCF of 5649,9205 is 7.
Lets's calculate GCF of 5649,9205
| 7 | 5649, 9205 |
| 807, 1315 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5649,9205 By Matching Biggest Common Factor Method
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
Now, list down the factors of 9205
:1,5,7,35,263,1315,1841,9205
Greatest Common Factor
We found the factors 5649,9205 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,9205 is 7.
Lets's calculate LCM of 696,8344
| 2 | 696, 8344 |
| 2 | 348, 4172 |
| 2 | 174, 2086 |
| 87, 1043 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 1043 = 725928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/725928
Therefore, the GCF of Fractions 5649/696,9205/8344 is 7/725928
Least Common Multiple of 696,8344 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 696,8344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,8344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(696,8344) x common factors =8 x 1 = 8
LCM(696,8344) = ( 696 × 8344 ) / 8
LCM(696,8344) = 5807424 / 8
LCM(696,8344) = 725928
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FAQs on GCF of Fractions of 5649/696, 9205/8344
1. What is the HCF of 5649,9205?
The HCF of 5649,9205 is 7
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 5649/696, 9205/8344?
Answer: GCF of Numerators as per given numbers 5649/696, 9205/8344 is
GCF of Numerators i.e. for 5649,9205 is 7
LCM of denominators i.e. for 696,8344 is 725928.
Thus, GCF of Fractions is 7/725928.Finally, GCF of Fractions for 5649/696, 9205/8344 is 7/725928.