GCF of 9196/841, 7714/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9196/841, 7714/427 i.e 38/359107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9196/841, 7714/427.
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 9196/841,7714/427?
Given fractions are 9196/841,7714/427
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 9196/841,7714/427, numerators are 9196,7714
Denominators are 841,427
The GCF of 9196,7714 is 38 .
LCM of 841,427 is 359107.
The greatest common factor of 9196/841,7714/427 = [GCF of 9196,7714]/[LCM of 841,427]= 38/359107
Therefore, the GCF of 9196/841,7714/427 is 38/359107.
To find the highest common factor of 9196,7714, we have to find the factors of both numbers and list the highest common factor.
The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196
The factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714
The HCF of 9196,7714 is 38.
Lets's calculate GCF of 9196,7714
| 2 | 9196, 7714 |
| 19 | 4598, 3857 |
| 242, 203 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 9196,7714 By Matching Biggest Common Factor Method
Now, list down the factors of 9196
:1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196
Now, list down the factors of 7714
:1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714
Greatest Common Factor
We found the factors 9196,7714 . The biggest common factor number is the GCF number.
So the greatest common factor 9196,7714 is 38.
Lets's calculate LCM of 841,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 359107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/359107
Therefore, the GCF of Fractions 9196/841,7714/427 is 38/359107
Least Common Multiple of 841,427 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 841,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,427) x common factors =1 x 1 = 1
LCM(841,427) = ( 841 × 427 ) / 1
LCM(841,427) = 359107 / 1
LCM(841,427) = 359107
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FAQs on GCF of Fractions of 9196/841, 7714/427
1. What is the HCF of 9196,7714?
The HCF of 9196,7714 is 38
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 9196/841, 7714/427?
Answer: GCF of Numerators as per given numbers 9196/841, 7714/427 is
GCF of Numerators i.e. for 9196,7714 is 38
LCM of denominators i.e. for 841,427 is 359107.
Thus, GCF of Fractions is 38/359107.Finally, GCF of Fractions for 9196/841, 7714/427 is 38/359107.