GCF of 6355/581, 9307/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6355/581, 9307/102 i.e 41/59262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6355/581, 9307/102.
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 6355/581,9307/102?
Given fractions are 6355/581,9307/102
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 6355/581,9307/102, numerators are 6355,9307
Denominators are 581,102
The GCF of 6355,9307 is 41 .
LCM of 581,102 is 59262.
The greatest common factor of 6355/581,9307/102 = [GCF of 6355,9307]/[LCM of 581,102]= 41/59262
Therefore, the GCF of 6355/581,9307/102 is 41/59262.
To find the highest common factor of 6355,9307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355
The factors of 9307 are 1, 41, 227, 9307
The HCF of 6355,9307 is 41.
Lets's calculate GCF of 6355,9307
| 41 | 6355, 9307 |
| 155, 227 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 6355,9307 By Matching Biggest Common Factor Method
Now, list down the factors of 6355
:1,5,31,41,155,205,1271,6355
Now, list down the factors of 9307
:1,41,227,9307
Greatest Common Factor
We found the factors 6355,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 6355,9307 is 41.
Lets's calculate LCM of 581,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 59262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/59262
Therefore, the GCF of Fractions 6355/581,9307/102 is 41/59262
Least Common Multiple of 581,102 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 581,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,102) x common factors =1 x 1 = 1
LCM(581,102) = ( 581 × 102 ) / 1
LCM(581,102) = 59262 / 1
LCM(581,102) = 59262
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FAQs on GCF of Fractions of 6355/581, 9307/102
1. What is the HCF of 6355,9307?
The HCF of 6355,9307 is 41
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 6355/581, 9307/102?
Answer: GCF of Numerators as per given numbers 6355/581, 9307/102 is
GCF of Numerators i.e. for 6355,9307 is 41
LCM of denominators i.e. for 581,102 is 59262.
Thus, GCF of Fractions is 41/59262.Finally, GCF of Fractions for 6355/581, 9307/102 is 41/59262.