GCF of 4720/224, 6348/5640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4720/224, 6348/5640 i.e 4/157920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4720/224, 6348/5640.
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 4720/224,6348/5640?
Given fractions are 4720/224,6348/5640
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 4720/224,6348/5640, numerators are 4720,6348
Denominators are 224,5640
The GCF of 4720,6348 is 4 .
LCM of 224,5640 is 157920.
The greatest common factor of 4720/224,6348/5640 = [GCF of 4720,6348]/[LCM of 224,5640]= 4/157920
Therefore, the GCF of 4720/224,6348/5640 is 4/157920.
To find the highest common factor of 4720,6348, we have to find the factors of both numbers and list the highest common factor.
The factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The HCF of 4720,6348 is 4.
Lets's calculate GCF of 4720,6348
| 2 | 4720, 6348 |
| 2 | 2360, 3174 |
| 1180, 1587 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4720,6348 By Matching Biggest Common Factor Method
Now, list down the factors of 4720
:1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 4720,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 4720,6348 is 4.
Lets's calculate LCM of 224,5640
| 2 | 224, 5640 |
| 2 | 112, 2820 |
| 2 | 56, 1410 |
| 28, 705 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 705 = 157920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/157920
Therefore, the GCF of Fractions 4720/224,6348/5640 is 4/157920
Least Common Multiple of 224,5640 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 224,5640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,5640) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(224,5640) x common factors =8 x 1 = 8
LCM(224,5640) = ( 224 × 5640 ) / 8
LCM(224,5640) = 1263360 / 8
LCM(224,5640) = 157920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4720/224, 6348/5640
1. What is the HCF of 4720,6348?
The HCF of 4720,6348 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 4720/224, 6348/5640?
Answer: GCF of Numerators as per given numbers 4720/224, 6348/5640 is
GCF of Numerators i.e. for 4720,6348 is 4
LCM of denominators i.e. for 224,5640 is 157920.
Thus, GCF of Fractions is 4/157920.Finally, GCF of Fractions for 4720/224, 6348/5640 is 4/157920.