GCF of 8246/624, 6202/3605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8246/624, 6202/3605 i.e 14/2249520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8246/624, 6202/3605.
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 8246/624,6202/3605?
Given fractions are 8246/624,6202/3605
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 8246/624,6202/3605, numerators are 8246,6202
Denominators are 624,3605
The GCF of 8246,6202 is 14 .
LCM of 624,3605 is 2249520.
The greatest common factor of 8246/624,6202/3605 = [GCF of 8246,6202]/[LCM of 624,3605]= 14/2249520
Therefore, the GCF of 8246/624,6202/3605 is 14/2249520.
To find the highest common factor of 8246,6202, we have to find the factors of both numbers and list the highest common factor.
The factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246
The factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202
The HCF of 8246,6202 is 14.
Lets's calculate GCF of 8246,6202
| 2 | 8246, 6202 |
| 7 | 4123, 3101 |
| 589, 443 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8246,6202 By Matching Biggest Common Factor Method
Now, list down the factors of 8246
:1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Now, list down the factors of 6202
:1,2,7,14,443,886,3101,6202
Greatest Common Factor
We found the factors 8246,6202 . The biggest common factor number is the GCF number.
So the greatest common factor 8246,6202 is 14.
Lets's calculate LCM of 624,3605
Given numbers has no common factors except 1. So, there LCM is their product i.e 2249520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2249520
Therefore, the GCF of Fractions 8246/624,6202/3605 is 14/2249520
Least Common Multiple of 624,3605 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 624,3605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,3605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,3605) x common factors =1 x 1 = 1
LCM(624,3605) = ( 624 × 3605 ) / 1
LCM(624,3605) = 2249520 / 1
LCM(624,3605) = 2249520
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FAQs on GCF of Fractions of 8246/624, 6202/3605
1. What is the HCF of 8246,6202?
The HCF of 8246,6202 is 14
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 8246/624, 6202/3605?
Answer: GCF of Numerators as per given numbers 8246/624, 6202/3605 is
GCF of Numerators i.e. for 8246,6202 is 14
LCM of denominators i.e. for 624,3605 is 2249520.
Thus, GCF of Fractions is 14/2249520.Finally, GCF of Fractions for 8246/624, 6202/3605 is 14/2249520.