GCF of 4750/961, 2420/5794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4750/961, 2420/5794 i.e 10/5568034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4750/961, 2420/5794.
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 4750/961,2420/5794?
Given fractions are 4750/961,2420/5794
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 4750/961,2420/5794, numerators are 4750,2420
Denominators are 961,5794
The GCF of 4750,2420 is 10 .
LCM of 961,5794 is 5568034.
The greatest common factor of 4750/961,2420/5794 = [GCF of 4750,2420]/[LCM of 961,5794]= 10/5568034
Therefore, the GCF of 4750/961,2420/5794 is 10/5568034.
To find the highest common factor of 4750,2420, we have to find the factors of both numbers and list the highest common factor.
The factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750
The factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
The HCF of 4750,2420 is 10.
Lets's calculate GCF of 4750,2420
| 2 | 4750, 2420 |
| 5 | 2375, 1210 |
| 475, 242 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4750,2420 By Matching Biggest Common Factor Method
Now, list down the factors of 4750
:1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Now, list down the factors of 2420
:1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Greatest Common Factor
We found the factors 4750,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 4750,2420 is 10.
Lets's calculate LCM of 961,5794
Given numbers has no common factors except 1. So, there LCM is their product i.e 5568034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5568034
Therefore, the GCF of Fractions 4750/961,2420/5794 is 10/5568034
Least Common Multiple of 961,5794 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 961,5794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,5794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,5794) x common factors =1 x 1 = 1
LCM(961,5794) = ( 961 × 5794 ) / 1
LCM(961,5794) = 5568034 / 1
LCM(961,5794) = 5568034
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FAQs on GCF of Fractions of 4750/961, 2420/5794
1. What is the HCF of 4750,2420?
The HCF of 4750,2420 is 10
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 4750/961, 2420/5794?
Answer: GCF of Numerators as per given numbers 4750/961, 2420/5794 is
GCF of Numerators i.e. for 4750,2420 is 10
LCM of denominators i.e. for 961,5794 is 5568034.
Thus, GCF of Fractions is 10/5568034.Finally, GCF of Fractions for 4750/961, 2420/5794 is 10/5568034.