GCF of 6308/727, 6956/1842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6308/727, 6956/1842 i.e 4/1339134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6308/727, 6956/1842.
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 6308/727,6956/1842?
Given fractions are 6308/727,6956/1842
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 6308/727,6956/1842, numerators are 6308,6956
Denominators are 727,1842
The GCF of 6308,6956 is 4 .
LCM of 727,1842 is 1339134.
The greatest common factor of 6308/727,6956/1842 = [GCF of 6308,6956]/[LCM of 727,1842]= 4/1339134
Therefore, the GCF of 6308/727,6956/1842 is 4/1339134.
To find the highest common factor of 6308,6956, we have to find the factors of both numbers and list the highest common factor.
The factors of 6308 are 1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308
The factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956
The HCF of 6308,6956 is 4.
Lets's calculate GCF of 6308,6956
| 2 | 6308, 6956 |
| 2 | 3154, 3478 |
| 1577, 1739 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6308,6956 By Matching Biggest Common Factor Method
Now, list down the factors of 6308
:1,2,4,19,38,76,83,166,332,1577,3154,6308
Now, list down the factors of 6956
:1,2,4,37,47,74,94,148,188,1739,3478,6956
Greatest Common Factor
We found the factors 6308,6956 . The biggest common factor number is the GCF number.
So the greatest common factor 6308,6956 is 4.
Lets's calculate LCM of 727,1842
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1339134
Therefore, the GCF of Fractions 6308/727,6956/1842 is 4/1339134
Least Common Multiple of 727,1842 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 727,1842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,1842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,1842) x common factors =1 x 1 = 1
LCM(727,1842) = ( 727 × 1842 ) / 1
LCM(727,1842) = 1339134 / 1
LCM(727,1842) = 1339134
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FAQs on GCF of Fractions of 6308/727, 6956/1842
1. What is the HCF of 6308,6956?
The HCF of 6308,6956 is 4
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 6308/727, 6956/1842?
Answer: GCF of Numerators as per given numbers 6308/727, 6956/1842 is
GCF of Numerators i.e. for 6308,6956 is 4
LCM of denominators i.e. for 727,1842 is 1339134.
Thus, GCF of Fractions is 4/1339134.Finally, GCF of Fractions for 6308/727, 6956/1842 is 4/1339134.