GCF of 8822/764, 4116/939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8822/764, 4116/939 i.e 2/717396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8822/764, 4116/939.
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 8822/764,4116/939?
Given fractions are 8822/764,4116/939
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 8822/764,4116/939, numerators are 8822,4116
Denominators are 764,939
The GCF of 8822,4116 is 2 .
LCM of 764,939 is 717396.
The greatest common factor of 8822/764,4116/939 = [GCF of 8822,4116]/[LCM of 764,939]= 2/717396
Therefore, the GCF of 8822/764,4116/939 is 2/717396.
To find the highest common factor of 8822,4116, we have to find the factors of both numbers and list the highest common factor.
The factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 8822,4116 is 2.
Lets's calculate GCF of 8822,4116
| 2 | 8822, 4116 |
| 4411, 2058 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8822,4116 By Matching Biggest Common Factor Method
Now, list down the factors of 8822
:1,2,11,22,401,802,4411,8822
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 8822,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,4116 is 2.
Lets's calculate LCM of 764,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 717396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/717396
Therefore, the GCF of Fractions 8822/764,4116/939 is 2/717396
Least Common Multiple of 764,939 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 764,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,939) x common factors =1 x 1 = 1
LCM(764,939) = ( 764 × 939 ) / 1
LCM(764,939) = 717396 / 1
LCM(764,939) = 717396
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FAQs on GCF of Fractions of 8822/764, 4116/939
1. What is the HCF of 8822,4116?
The HCF of 8822,4116 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 8822/764, 4116/939?
Answer: GCF of Numerators as per given numbers 8822/764, 4116/939 is
GCF of Numerators i.e. for 8822,4116 is 2
LCM of denominators i.e. for 764,939 is 717396.
Thus, GCF of Fractions is 2/717396.Finally, GCF of Fractions for 8822/764, 4116/939 is 2/717396.