GCF of 7736/717, 5292/9190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7736/717, 5292/9190 i.e 4/6589230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7736/717, 5292/9190.
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 7736/717,5292/9190?
Given fractions are 7736/717,5292/9190
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 7736/717,5292/9190, numerators are 7736,5292
Denominators are 717,9190
The GCF of 7736,5292 is 4 .
LCM of 717,9190 is 6589230.
The greatest common factor of 7736/717,5292/9190 = [GCF of 7736,5292]/[LCM of 717,9190]= 4/6589230
Therefore, the GCF of 7736/717,5292/9190 is 4/6589230.
To find the highest common factor of 7736,5292, we have to find the factors of both numbers and list the highest common factor.
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292
The HCF of 7736,5292 is 4.
Lets's calculate GCF of 7736,5292
| 2 | 7736, 5292 |
| 2 | 3868, 2646 |
| 1934, 1323 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7736,5292 By Matching Biggest Common Factor Method
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Now, list down the factors of 5292
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Greatest Common Factor
We found the factors 7736,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 7736,5292 is 4.
Lets's calculate LCM of 717,9190
Given numbers has no common factors except 1. So, there LCM is their product i.e 6589230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6589230
Therefore, the GCF of Fractions 7736/717,5292/9190 is 4/6589230
Least Common Multiple of 717,9190 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 717,9190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9190) x common factors =1 x 1 = 1
LCM(717,9190) = ( 717 × 9190 ) / 1
LCM(717,9190) = 6589230 / 1
LCM(717,9190) = 6589230
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FAQs on GCF of Fractions of 7736/717, 5292/9190
1. What is the HCF of 7736,5292?
The HCF of 7736,5292 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 7736/717, 5292/9190?
Answer: GCF of Numerators as per given numbers 7736/717, 5292/9190 is
GCF of Numerators i.e. for 7736,5292 is 4
LCM of denominators i.e. for 717,9190 is 6589230.
Thus, GCF of Fractions is 4/6589230.Finally, GCF of Fractions for 7736/717, 5292/9190 is 4/6589230.