GCF of 7322/247, 6426/5878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7322/247, 6426/5878 i.e 14/1451866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7322/247, 6426/5878.
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 7322/247,6426/5878?
Given fractions are 7322/247,6426/5878
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 7322/247,6426/5878, numerators are 7322,6426
Denominators are 247,5878
The GCF of 7322,6426 is 14 .
LCM of 247,5878 is 1451866.
The greatest common factor of 7322/247,6426/5878 = [GCF of 7322,6426]/[LCM of 247,5878]= 14/1451866
Therefore, the GCF of 7322/247,6426/5878 is 14/1451866.
To find the highest common factor of 7322,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The HCF of 7322,6426 is 14.
Lets's calculate GCF of 7322,6426
| 2 | 7322, 6426 |
| 7 | 3661, 3213 |
| 523, 459 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7322,6426 By Matching Biggest Common Factor Method
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Greatest Common Factor
We found the factors 7322,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 7322,6426 is 14.
Lets's calculate LCM of 247,5878
Given numbers has no common factors except 1. So, there LCM is their product i.e 1451866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1451866
Therefore, the GCF of Fractions 7322/247,6426/5878 is 14/1451866
Least Common Multiple of 247,5878 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 247,5878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,5878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,5878) x common factors =1 x 1 = 1
LCM(247,5878) = ( 247 × 5878 ) / 1
LCM(247,5878) = 1451866 / 1
LCM(247,5878) = 1451866
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FAQs on GCF of Fractions of 7322/247, 6426/5878
1. What is the HCF of 7322,6426?
The HCF of 7322,6426 is 14
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 7322/247, 6426/5878?
Answer: GCF of Numerators as per given numbers 7322/247, 6426/5878 is
GCF of Numerators i.e. for 7322,6426 is 14
LCM of denominators i.e. for 247,5878 is 1451866.
Thus, GCF of Fractions is 14/1451866.Finally, GCF of Fractions for 7322/247, 6426/5878 is 14/1451866.