GCF of 7174/819, 9262/9387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7174/819, 9262/9387 i.e 2/122031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7174/819, 9262/9387.
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 7174/819,9262/9387?
Given fractions are 7174/819,9262/9387
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 7174/819,9262/9387, numerators are 7174,9262
Denominators are 819,9387
The GCF of 7174,9262 is 2 .
LCM of 819,9387 is 122031.
The greatest common factor of 7174/819,9262/9387 = [GCF of 7174,9262]/[LCM of 819,9387]= 2/122031
Therefore, the GCF of 7174/819,9262/9387 is 2/122031.
To find the highest common factor of 7174,9262, we have to find the factors of both numbers and list the highest common factor.
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The HCF of 7174,9262 is 2.
Lets's calculate GCF of 7174,9262
| 2 | 7174, 9262 |
| 3587, 4631 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7174,9262 By Matching Biggest Common Factor Method
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Greatest Common Factor
We found the factors 7174,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,9262 is 2.
Lets's calculate LCM of 819,9387
| 3 | 819, 9387 |
| 3 | 273, 3129 |
| 7 | 91, 1043 |
| 13, 149 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 149 = 122031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122031
Therefore, the GCF of Fractions 7174/819,9262/9387 is 2/122031
Least Common Multiple of 819,9387 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 819,9387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,9387) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(819,9387) x common factors =63 x 1 = 63
LCM(819,9387) = ( 819 × 9387 ) / 63
LCM(819,9387) = 7687953 / 63
LCM(819,9387) = 122031
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FAQs on GCF of Fractions of 7174/819, 9262/9387
1. What is the HCF of 7174,9262?
The HCF of 7174,9262 is 2
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 7174/819, 9262/9387?
Answer: GCF of Numerators as per given numbers 7174/819, 9262/9387 is
GCF of Numerators i.e. for 7174,9262 is 2
LCM of denominators i.e. for 819,9387 is 122031.
Thus, GCF of Fractions is 2/122031.Finally, GCF of Fractions for 7174/819, 9262/9387 is 2/122031.