GCF of 9716/991, 8820/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9716/991, 8820/721 i.e 28/714511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9716/991, 8820/721.
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 9716/991,8820/721?
Given fractions are 9716/991,8820/721
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 9716/991,8820/721, numerators are 9716,8820
Denominators are 991,721
The GCF of 9716,8820 is 28 .
LCM of 991,721 is 714511.
The greatest common factor of 9716/991,8820/721 = [GCF of 9716,8820]/[LCM of 991,721]= 28/714511
Therefore, the GCF of 9716/991,8820/721 is 28/714511.
To find the highest common factor of 9716,8820, we have to find the factors of both numbers and list the highest common factor.
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820
The HCF of 9716,8820 is 28.
Lets's calculate GCF of 9716,8820
| 2 | 9716, 8820 |
| 2 | 4858, 4410 |
| 7 | 2429, 2205 |
| 347, 315 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9716,8820 By Matching Biggest Common Factor Method
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
Now, list down the factors of 8820
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 9716,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 9716,8820 is 28.
Lets's calculate LCM of 991,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 714511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/714511
Therefore, the GCF of Fractions 9716/991,8820/721 is 28/714511
Least Common Multiple of 991,721 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 991,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,721) x common factors =1 x 1 = 1
LCM(991,721) = ( 991 × 721 ) / 1
LCM(991,721) = 714511 / 1
LCM(991,721) = 714511
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FAQs on GCF of Fractions of 9716/991, 8820/721
1. What is the HCF of 9716,8820?
The HCF of 9716,8820 is 28
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 9716/991, 8820/721?
Answer: GCF of Numerators as per given numbers 9716/991, 8820/721 is
GCF of Numerators i.e. for 9716,8820 is 28
LCM of denominators i.e. for 991,721 is 714511.
Thus, GCF of Fractions is 28/714511.Finally, GCF of Fractions for 9716/991, 8820/721 is 28/714511.