GCF of 6235/606, 7860/3493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6235/606, 7860/3493 i.e 5/2116758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6235/606, 7860/3493.
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 6235/606,7860/3493?
Given fractions are 6235/606,7860/3493
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 6235/606,7860/3493, numerators are 6235,7860
Denominators are 606,3493
The GCF of 6235,7860 is 5 .
LCM of 606,3493 is 2116758.
The greatest common factor of 6235/606,7860/3493 = [GCF of 6235,7860]/[LCM of 606,3493]= 5/2116758
Therefore, the GCF of 6235/606,7860/3493 is 5/2116758.
To find the highest common factor of 6235,7860, we have to find the factors of both numbers and list the highest common factor.
The factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235
The factors of 7860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860
The HCF of 6235,7860 is 5.
Lets's calculate GCF of 6235,7860
| 5 | 6235, 7860 |
| 1247, 1572 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6235,7860 By Matching Biggest Common Factor Method
Now, list down the factors of 6235
:1,5,29,43,145,215,1247,6235
Now, list down the factors of 7860
:1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860
Greatest Common Factor
We found the factors 6235,7860 . The biggest common factor number is the GCF number.
So the greatest common factor 6235,7860 is 5.
Lets's calculate LCM of 606,3493
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2116758
Therefore, the GCF of Fractions 6235/606,7860/3493 is 5/2116758
Least Common Multiple of 606,3493 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 606,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,3493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,3493) x common factors =1 x 1 = 1
LCM(606,3493) = ( 606 × 3493 ) / 1
LCM(606,3493) = 2116758 / 1
LCM(606,3493) = 2116758
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FAQs on GCF of Fractions of 6235/606, 7860/3493
1. What is the HCF of 6235,7860?
The HCF of 6235,7860 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 6235/606, 7860/3493?
Answer: GCF of Numerators as per given numbers 6235/606, 7860/3493 is
GCF of Numerators i.e. for 6235,7860 is 5
LCM of denominators i.e. for 606,3493 is 2116758.
Thus, GCF of Fractions is 5/2116758.Finally, GCF of Fractions for 6235/606, 7860/3493 is 5/2116758.