GCF of 4508/706, 9560/4519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4508/706, 9560/4519 i.e 4/3190414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4508/706, 9560/4519.
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 4508/706,9560/4519?
Given fractions are 4508/706,9560/4519
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 4508/706,9560/4519, numerators are 4508,9560
Denominators are 706,4519
The GCF of 4508,9560 is 4 .
LCM of 706,4519 is 3190414.
The greatest common factor of 4508/706,9560/4519 = [GCF of 4508,9560]/[LCM of 706,4519]= 4/3190414
Therefore, the GCF of 4508/706,9560/4519 is 4/3190414.
To find the highest common factor of 4508,9560, we have to find the factors of both numbers and list the highest common factor.
The factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508
The factors of 9560 are 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560
The HCF of 4508,9560 is 4.
Lets's calculate GCF of 4508,9560
| 2 | 4508, 9560 |
| 2 | 2254, 4780 |
| 1127, 2390 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4508,9560 By Matching Biggest Common Factor Method
Now, list down the factors of 4508
:1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508
Now, list down the factors of 9560
:1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560
Greatest Common Factor
We found the factors 4508,9560 . The biggest common factor number is the GCF number.
So the greatest common factor 4508,9560 is 4.
Lets's calculate LCM of 706,4519
Given numbers has no common factors except 1. So, there LCM is their product i.e 3190414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3190414
Therefore, the GCF of Fractions 4508/706,9560/4519 is 4/3190414
Least Common Multiple of 706,4519 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 706,4519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,4519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,4519) x common factors =1 x 1 = 1
LCM(706,4519) = ( 706 × 4519 ) / 1
LCM(706,4519) = 3190414 / 1
LCM(706,4519) = 3190414
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FAQs on GCF of Fractions of 4508/706, 9560/4519
1. What is the HCF of 4508,9560?
The HCF of 4508,9560 is 4
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 4508/706, 9560/4519?
Answer: GCF of Numerators as per given numbers 4508/706, 9560/4519 is
GCF of Numerators i.e. for 4508,9560 is 4
LCM of denominators i.e. for 706,4519 is 3190414.
Thus, GCF of Fractions is 4/3190414.Finally, GCF of Fractions for 4508/706, 9560/4519 is 4/3190414.