GCF of 6230/867, 2660/7246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6230/867, 2660/7246 i.e 70/6282282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6230/867, 2660/7246.
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 6230/867,2660/7246?
Given fractions are 6230/867,2660/7246
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 6230/867,2660/7246, numerators are 6230,2660
Denominators are 867,7246
The GCF of 6230,2660 is 70 .
LCM of 867,7246 is 6282282.
The greatest common factor of 6230/867,2660/7246 = [GCF of 6230,2660]/[LCM of 867,7246]= 70/6282282
Therefore, the GCF of 6230/867,2660/7246 is 70/6282282.
To find the highest common factor of 6230,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 6230,2660 is 70.
Lets's calculate GCF of 6230,2660
| 2 | 6230, 2660 |
| 5 | 3115, 1330 |
| 7 | 623, 266 |
| 89, 38 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 6230,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 6230,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 6230,2660 is 70.
Lets's calculate LCM of 867,7246
Given numbers has no common factors except 1. So, there LCM is their product i.e 6282282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/6282282
Therefore, the GCF of Fractions 6230/867,2660/7246 is 70/6282282
Least Common Multiple of 867,7246 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 867,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7246) x common factors =1 x 1 = 1
LCM(867,7246) = ( 867 × 7246 ) / 1
LCM(867,7246) = 6282282 / 1
LCM(867,7246) = 6282282
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FAQs on GCF of Fractions of 6230/867, 2660/7246
1. What is the HCF of 6230,2660?
The HCF of 6230,2660 is 70
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 6230/867, 2660/7246?
Answer: GCF of Numerators as per given numbers 6230/867, 2660/7246 is
GCF of Numerators i.e. for 6230,2660 is 70
LCM of denominators i.e. for 867,7246 is 6282282.
Thus, GCF of Fractions is 70/6282282.Finally, GCF of Fractions for 6230/867, 2660/7246 is 70/6282282.