GCF of 4940/634, 5145/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4940/634, 5145/516 i.e 5/163572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4940/634, 5145/516.
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 4940/634,5145/516?
Given fractions are 4940/634,5145/516
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 4940/634,5145/516, numerators are 4940,5145
Denominators are 634,516
The GCF of 4940,5145 is 5 .
LCM of 634,516 is 163572.
The greatest common factor of 4940/634,5145/516 = [GCF of 4940,5145]/[LCM of 634,516]= 5/163572
Therefore, the GCF of 4940/634,5145/516 is 5/163572.
To find the highest common factor of 4940,5145, we have to find the factors of both numbers and list the highest common factor.
The factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
The factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
The HCF of 4940,5145 is 5.
Lets's calculate GCF of 4940,5145
| 5 | 4940, 5145 |
| 988, 1029 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4940,5145 By Matching Biggest Common Factor Method
Now, list down the factors of 4940
:1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Now, list down the factors of 5145
:1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145
Greatest Common Factor
We found the factors 4940,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 4940,5145 is 5.
Lets's calculate LCM of 634,516
| 2 | 634, 516 |
| 317, 258 |
∴ So the LCM of the given numbers is 2 x 317 x 258 = 163572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/163572
Therefore, the GCF of Fractions 4940/634,5145/516 is 5/163572
Least Common Multiple of 634,516 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 634,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,516) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,516) x common factors =2 x 1 = 2
LCM(634,516) = ( 634 × 516 ) / 2
LCM(634,516) = 327144 / 2
LCM(634,516) = 163572
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FAQs on GCF of Fractions of 4940/634, 5145/516
1. What is the HCF of 4940,5145?
The HCF of 4940,5145 is 5
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 4940/634, 5145/516?
Answer: GCF of Numerators as per given numbers 4940/634, 5145/516 is
GCF of Numerators i.e. for 4940,5145 is 5
LCM of denominators i.e. for 634,516 is 163572.
Thus, GCF of Fractions is 5/163572.Finally, GCF of Fractions for 4940/634, 5145/516 is 5/163572.