GCF of 4936/308, 9248/3081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/308, 9248/3081 i.e 8/948948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/308, 9248/3081.
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 4936/308,9248/3081?
Given fractions are 4936/308,9248/3081
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 4936/308,9248/3081, numerators are 4936,9248
Denominators are 308,3081
The GCF of 4936,9248 is 8 .
LCM of 308,3081 is 948948.
The greatest common factor of 4936/308,9248/3081 = [GCF of 4936,9248]/[LCM of 308,3081]= 8/948948
Therefore, the GCF of 4936/308,9248/3081 is 8/948948.
To find the highest common factor of 4936,9248, we have to find the factors of both numbers and list the highest common factor.
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248
The HCF of 4936,9248 is 8.
Lets's calculate GCF of 4936,9248
| 2 | 4936, 9248 |
| 2 | 2468, 4624 |
| 2 | 1234, 2312 |
| 617, 1156 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4936,9248 By Matching Biggest Common Factor Method
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 9248
:1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248
Greatest Common Factor
We found the factors 4936,9248 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,9248 is 8.
Lets's calculate LCM of 308,3081
Given numbers has no common factors except 1. So, there LCM is their product i.e 948948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/948948
Therefore, the GCF of Fractions 4936/308,9248/3081 is 8/948948
Least Common Multiple of 308,3081 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 308,3081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,3081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,3081) x common factors =1 x 1 = 1
LCM(308,3081) = ( 308 × 3081 ) / 1
LCM(308,3081) = 948948 / 1
LCM(308,3081) = 948948
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FAQs on GCF of Fractions of 4936/308, 9248/3081
1. What is the HCF of 4936,9248?
The HCF of 4936,9248 is 8
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 4936/308, 9248/3081?
Answer: GCF of Numerators as per given numbers 4936/308, 9248/3081 is
GCF of Numerators i.e. for 4936,9248 is 8
LCM of denominators i.e. for 308,3081 is 948948.
Thus, GCF of Fractions is 8/948948.Finally, GCF of Fractions for 4936/308, 9248/3081 is 8/948948.