GCF of 8820/777, 7016/3861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8820/777, 7016/3861 i.e 4/999999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8820/777, 7016/3861.
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 8820/777,7016/3861?
Given fractions are 8820/777,7016/3861
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 8820/777,7016/3861, numerators are 8820,7016
Denominators are 777,3861
The GCF of 8820,7016 is 4 .
LCM of 777,3861 is 999999.
The greatest common factor of 8820/777,7016/3861 = [GCF of 8820,7016]/[LCM of 777,3861]= 4/999999
Therefore, the GCF of 8820/777,7016/3861 is 4/999999.
To find the highest common factor of 8820,7016, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016
The HCF of 8820,7016 is 4.
Lets's calculate GCF of 8820,7016
| 2 | 8820, 7016 |
| 2 | 4410, 3508 |
| 2205, 1754 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8820,7016 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7016
:1,2,4,8,877,1754,3508,7016
Greatest Common Factor
We found the factors 8820,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 8820,7016 is 4.
Lets's calculate LCM of 777,3861
| 3 | 777, 3861 |
| 259, 1287 |
∴ So the LCM of the given numbers is 3 x 259 x 1287 = 999999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/999999
Therefore, the GCF of Fractions 8820/777,7016/3861 is 4/999999
Least Common Multiple of 777,3861 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 777,3861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,3861) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,3861) x common factors =3 x 1 = 3
LCM(777,3861) = ( 777 × 3861 ) / 3
LCM(777,3861) = 2999997 / 3
LCM(777,3861) = 999999
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8820/777, 7016/3861
1. What is the HCF of 8820,7016?
The HCF of 8820,7016 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 8820/777, 7016/3861?
Answer: GCF of Numerators as per given numbers 8820/777, 7016/3861 is
GCF of Numerators i.e. for 8820,7016 is 4
LCM of denominators i.e. for 777,3861 is 999999.
Thus, GCF of Fractions is 4/999999.Finally, GCF of Fractions for 8820/777, 7016/3861 is 4/999999.