GCF of 4627/513, 5880/2270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4627/513, 5880/2270 i.e 7/1164510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4627/513, 5880/2270.
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 4627/513,5880/2270?
Given fractions are 4627/513,5880/2270
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 4627/513,5880/2270, numerators are 4627,5880
Denominators are 513,2270
The GCF of 4627,5880 is 7 .
LCM of 513,2270 is 1164510.
The greatest common factor of 4627/513,5880/2270 = [GCF of 4627,5880]/[LCM of 513,2270]= 7/1164510
Therefore, the GCF of 4627/513,5880/2270 is 7/1164510.
To find the highest common factor of 4627,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 4627 are 1, 7, 661, 4627
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 4627,5880 is 7.
Lets's calculate GCF of 4627,5880
| 7 | 4627, 5880 |
| 661, 840 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4627,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 4627
:1,7,661,4627
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 4627,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 4627,5880 is 7.
Lets's calculate LCM of 513,2270
Given numbers has no common factors except 1. So, there LCM is their product i.e 1164510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1164510
Therefore, the GCF of Fractions 4627/513,5880/2270 is 7/1164510
Least Common Multiple of 513,2270 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 513,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,2270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,2270) x common factors =1 x 1 = 1
LCM(513,2270) = ( 513 × 2270 ) / 1
LCM(513,2270) = 1164510 / 1
LCM(513,2270) = 1164510
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FAQs on GCF of Fractions of 4627/513, 5880/2270
1. What is the HCF of 4627,5880?
The HCF of 4627,5880 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 4627/513, 5880/2270?
Answer: GCF of Numerators as per given numbers 4627/513, 5880/2270 is
GCF of Numerators i.e. for 4627,5880 is 7
LCM of denominators i.e. for 513,2270 is 1164510.
Thus, GCF of Fractions is 7/1164510.Finally, GCF of Fractions for 4627/513, 5880/2270 is 7/1164510.