GCF of 5083/780, 4230/1270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5083/780, 4230/1270 i.e 1/99060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5083/780, 4230/1270.
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 5083/780,4230/1270?
Given fractions are 5083/780,4230/1270
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 5083/780,4230/1270, numerators are 5083,4230
Denominators are 780,1270
The GCF of 5083,4230 is 1 .
LCM of 780,1270 is 99060.
The greatest common factor of 5083/780,4230/1270 = [GCF of 5083,4230]/[LCM of 780,1270]= 1/99060
Therefore, the GCF of 5083/780,4230/1270 is 1/99060.
To find the highest common factor of 5083,4230, we have to find the factors of both numbers and list the highest common factor.
The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The HCF of 5083,4230 is 1.
Lets's calculate GCF of 5083,4230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5083,4230 By Matching Biggest Common Factor Method
Now, list down the factors of 5083
:1,13,17,23,221,299,391,5083
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 5083,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 5083,4230 is 1.
Lets's calculate LCM of 780,1270
| 2 | 780, 1270 |
| 5 | 390, 635 |
| 78, 127 |
∴ So the LCM of the given numbers is 2 x 5 x 78 x 127 = 99060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99060
Therefore, the GCF of Fractions 5083/780,4230/1270 is 1/99060
Least Common Multiple of 780,1270 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 780,1270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,1270) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(780,1270) x common factors =10 x 1 = 10
LCM(780,1270) = ( 780 × 1270 ) / 10
LCM(780,1270) = 990600 / 10
LCM(780,1270) = 99060
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FAQs on GCF of Fractions of 5083/780, 4230/1270
1. What is the HCF of 5083,4230?
The HCF of 5083,4230 is 1
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 5083/780, 4230/1270?
Answer: GCF of Numerators as per given numbers 5083/780, 4230/1270 is
GCF of Numerators i.e. for 5083,4230 is 1
LCM of denominators i.e. for 780,1270 is 99060.
Thus, GCF of Fractions is 1/99060.Finally, GCF of Fractions for 5083/780, 4230/1270 is 1/99060.