GCF of 7794/658, 1226/5527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7794/658, 1226/5527 i.e 2/3636766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7794/658, 1226/5527.
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 7794/658,1226/5527?
Given fractions are 7794/658,1226/5527
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 7794/658,1226/5527, numerators are 7794,1226
Denominators are 658,5527
The GCF of 7794,1226 is 2 .
LCM of 658,5527 is 3636766.
The greatest common factor of 7794/658,1226/5527 = [GCF of 7794,1226]/[LCM of 658,5527]= 2/3636766
Therefore, the GCF of 7794/658,1226/5527 is 2/3636766.
To find the highest common factor of 7794,1226, we have to find the factors of both numbers and list the highest common factor.
The factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794
The factors of 1226 are 1, 2, 613, 1226
The HCF of 7794,1226 is 2.
Lets's calculate GCF of 7794,1226
| 2 | 7794, 1226 |
| 3897, 613 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7794,1226 By Matching Biggest Common Factor Method
Now, list down the factors of 7794
:1,2,3,6,9,18,433,866,1299,2598,3897,7794
Now, list down the factors of 1226
:1,2,613,1226
Greatest Common Factor
We found the factors 7794,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,1226 is 2.
Lets's calculate LCM of 658,5527
Given numbers has no common factors except 1. So, there LCM is their product i.e 3636766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3636766
Therefore, the GCF of Fractions 7794/658,1226/5527 is 2/3636766
Least Common Multiple of 658,5527 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 658,5527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,5527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,5527) x common factors =1 x 1 = 1
LCM(658,5527) = ( 658 × 5527 ) / 1
LCM(658,5527) = 3636766 / 1
LCM(658,5527) = 3636766
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FAQs on GCF of Fractions of 7794/658, 1226/5527
1. What is the HCF of 7794,1226?
The HCF of 7794,1226 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 7794/658, 1226/5527?
Answer: GCF of Numerators as per given numbers 7794/658, 1226/5527 is
GCF of Numerators i.e. for 7794,1226 is 2
LCM of denominators i.e. for 658,5527 is 3636766.
Thus, GCF of Fractions is 2/3636766.Finally, GCF of Fractions for 7794/658, 1226/5527 is 2/3636766.