GCF of 4606/788, 6055/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4606/788, 6055/396 i.e 7/78012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4606/788, 6055/396.
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 4606/788,6055/396?
Given fractions are 4606/788,6055/396
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 4606/788,6055/396, numerators are 4606,6055
Denominators are 788,396
The GCF of 4606,6055 is 7 .
LCM of 788,396 is 78012.
The greatest common factor of 4606/788,6055/396 = [GCF of 4606,6055]/[LCM of 788,396]= 7/78012
Therefore, the GCF of 4606/788,6055/396 is 7/78012.
To find the highest common factor of 4606,6055, we have to find the factors of both numbers and list the highest common factor.
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055
The HCF of 4606,6055 is 7.
Lets's calculate GCF of 4606,6055
| 7 | 4606, 6055 |
| 658, 865 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4606,6055 By Matching Biggest Common Factor Method
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Now, list down the factors of 6055
:1,5,7,35,173,865,1211,6055
Greatest Common Factor
We found the factors 4606,6055 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,6055 is 7.
Lets's calculate LCM of 788,396
| 2 | 788, 396 |
| 2 | 394, 198 |
| 197, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 99 = 78012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/78012
Therefore, the GCF of Fractions 4606/788,6055/396 is 7/78012
Least Common Multiple of 788,396 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 788,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,396) x common factors =4 x 1 = 4
LCM(788,396) = ( 788 × 396 ) / 4
LCM(788,396) = 312048 / 4
LCM(788,396) = 78012
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FAQs on GCF of Fractions of 4606/788, 6055/396
1. What is the HCF of 4606,6055?
The HCF of 4606,6055 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 4606/788, 6055/396?
Answer: GCF of Numerators as per given numbers 4606/788, 6055/396 is
GCF of Numerators i.e. for 4606,6055 is 7
LCM of denominators i.e. for 788,396 is 78012.
Thus, GCF of Fractions is 7/78012.Finally, GCF of Fractions for 4606/788, 6055/396 is 7/78012.