GCF of 4816/749, 5516/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4816/749, 5516/577 i.e 28/432173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4816/749, 5516/577.
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 4816/749,5516/577?
Given fractions are 4816/749,5516/577
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 4816/749,5516/577, numerators are 4816,5516
Denominators are 749,577
The GCF of 4816,5516 is 28 .
LCM of 749,577 is 432173.
The greatest common factor of 4816/749,5516/577 = [GCF of 4816,5516]/[LCM of 749,577]= 28/432173
Therefore, the GCF of 4816/749,5516/577 is 28/432173.
To find the highest common factor of 4816,5516, we have to find the factors of both numbers and list the highest common factor.
The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The HCF of 4816,5516 is 28.
Lets's calculate GCF of 4816,5516
| 2 | 4816, 5516 |
| 2 | 2408, 2758 |
| 7 | 1204, 1379 |
| 172, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 4816,5516 By Matching Biggest Common Factor Method
Now, list down the factors of 4816
:1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Greatest Common Factor
We found the factors 4816,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 4816,5516 is 28.
Lets's calculate LCM of 749,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 432173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/432173
Therefore, the GCF of Fractions 4816/749,5516/577 is 28/432173
Least Common Multiple of 749,577 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 749,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,577) x common factors =1 x 1 = 1
LCM(749,577) = ( 749 × 577 ) / 1
LCM(749,577) = 432173 / 1
LCM(749,577) = 432173
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FAQs on GCF of Fractions of 4816/749, 5516/577
1. What is the HCF of 4816,5516?
The HCF of 4816,5516 is 28
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 4816/749, 5516/577?
Answer: GCF of Numerators as per given numbers 4816/749, 5516/577 is
GCF of Numerators i.e. for 4816,5516 is 28
LCM of denominators i.e. for 749,577 is 432173.
Thus, GCF of Fractions is 28/432173.Finally, GCF of Fractions for 4816/749, 5516/577 is 28/432173.