GCF of 5030/310, 2142/2635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5030/310, 2142/2635 i.e 2/5270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5030/310, 2142/2635.
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 5030/310,2142/2635?
Given fractions are 5030/310,2142/2635
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 5030/310,2142/2635, numerators are 5030,2142
Denominators are 310,2635
The GCF of 5030,2142 is 2 .
LCM of 310,2635 is 5270.
The greatest common factor of 5030/310,2142/2635 = [GCF of 5030,2142]/[LCM of 310,2635]= 2/5270
Therefore, the GCF of 5030/310,2142/2635 is 2/5270.
To find the highest common factor of 5030,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 5030 are 1, 2, 5, 10, 503, 1006, 2515, 5030
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 5030,2142 is 2.
Lets's calculate GCF of 5030,2142
| 2 | 5030, 2142 |
| 2515, 1071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5030,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 5030
:1,2,5,10,503,1006,2515,5030
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 5030,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 5030,2142 is 2.
Lets's calculate LCM of 310,2635
| 5 | 310, 2635 |
| 31 | 62, 527 |
| 2, 17 |
∴ So the LCM of the given numbers is 5 x 31 x 2 x 17 = 5270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5270
Therefore, the GCF of Fractions 5030/310,2142/2635 is 2/5270
Least Common Multiple of 310,2635 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 310,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,2635) = 155
common factors(in case of two or more numbers have common factors) = 1
GCF(310,2635) x common factors =155 x 1 = 155
LCM(310,2635) = ( 310 × 2635 ) / 155
LCM(310,2635) = 816850 / 155
LCM(310,2635) = 5270
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FAQs on GCF of Fractions of 5030/310, 2142/2635
1. What is the HCF of 5030,2142?
The HCF of 5030,2142 is 2
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 5030/310, 2142/2635?
Answer: GCF of Numerators as per given numbers 5030/310, 2142/2635 is
GCF of Numerators i.e. for 5030,2142 is 2
LCM of denominators i.e. for 310,2635 is 5270.
Thus, GCF of Fractions is 2/5270.Finally, GCF of Fractions for 5030/310, 2142/2635 is 2/5270.