GCF of 5180/318, 7030/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5180/318, 7030/846 i.e 370/44838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5180/318, 7030/846.
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 5180/318,7030/846?
Given fractions are 5180/318,7030/846
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 5180/318,7030/846, numerators are 5180,7030
Denominators are 318,846
The GCF of 5180,7030 is 370 .
LCM of 318,846 is 44838.
The greatest common factor of 5180/318,7030/846 = [GCF of 5180,7030]/[LCM of 318,846]= 370/44838
Therefore, the GCF of 5180/318,7030/846 is 370/44838.
To find the highest common factor of 5180,7030, we have to find the factors of both numbers and list the highest common factor.
The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The HCF of 5180,7030 is 370.
Lets's calculate GCF of 5180,7030
| 2 | 5180, 7030 |
| 5 | 2590, 3515 |
| 37 | 518, 703 |
| 14, 19 |
∴ So the GCF of the given numbers is 2 x 5 x 37 = 370
Greatest Common Factor of 5180,7030 By Matching Biggest Common Factor Method
Now, list down the factors of 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Greatest Common Factor
We found the factors 5180,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,7030 is 370.
Lets's calculate LCM of 318,846
| 2 | 318, 846 |
| 3 | 159, 423 |
| 53, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 141 = 44838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 370/44838
Therefore, the GCF of Fractions 5180/318,7030/846 is 370/44838
Least Common Multiple of 318,846 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 318,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,846) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,846) x common factors =6 x 1 = 6
LCM(318,846) = ( 318 × 846 ) / 6
LCM(318,846) = 269028 / 6
LCM(318,846) = 44838
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FAQs on GCF of Fractions of 5180/318, 7030/846
1. What is the HCF of 5180,7030?
The HCF of 5180,7030 is 370
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 5180/318, 7030/846?
Answer: GCF of Numerators as per given numbers 5180/318, 7030/846 is
GCF of Numerators i.e. for 5180,7030 is 370
LCM of denominators i.e. for 318,846 is 44838.
Thus, GCF of Fractions is 370/44838.Finally, GCF of Fractions for 5180/318, 7030/846 is 370/44838.