GCF of 8740/130, 5643/7730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8740/130, 5643/7730 i.e 19/100490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8740/130, 5643/7730.
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 8740/130,5643/7730?
Given fractions are 8740/130,5643/7730
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 8740/130,5643/7730, numerators are 8740,5643
Denominators are 130,7730
The GCF of 8740,5643 is 19 .
LCM of 130,7730 is 100490.
The greatest common factor of 8740/130,5643/7730 = [GCF of 8740,5643]/[LCM of 130,7730]= 19/100490
Therefore, the GCF of 8740/130,5643/7730 is 19/100490.
To find the highest common factor of 8740,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 8740,5643 is 19.
Lets's calculate GCF of 8740,5643
| 19 | 8740, 5643 |
| 460, 297 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8740,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 8740
:1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 8740,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 8740,5643 is 19.
Lets's calculate LCM of 130,7730
| 2 | 130, 7730 |
| 5 | 65, 3865 |
| 13, 773 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 773 = 100490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/100490
Therefore, the GCF of Fractions 8740/130,5643/7730 is 19/100490
Least Common Multiple of 130,7730 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 130,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,7730) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(130,7730) x common factors =10 x 1 = 10
LCM(130,7730) = ( 130 × 7730 ) / 10
LCM(130,7730) = 1004900 / 10
LCM(130,7730) = 100490
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FAQs on GCF of Fractions of 8740/130, 5643/7730
1. What is the HCF of 8740,5643?
The HCF of 8740,5643 is 19
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 8740/130, 5643/7730?
Answer: GCF of Numerators as per given numbers 8740/130, 5643/7730 is
GCF of Numerators i.e. for 8740,5643 is 19
LCM of denominators i.e. for 130,7730 is 100490.
Thus, GCF of Fractions is 19/100490.Finally, GCF of Fractions for 8740/130, 5643/7730 is 19/100490.