GCF of 7044/684, 8722/2614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7044/684, 8722/2614 i.e 2/893988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7044/684, 8722/2614.
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 7044/684,8722/2614?
Given fractions are 7044/684,8722/2614
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 7044/684,8722/2614, numerators are 7044,8722
Denominators are 684,2614
The GCF of 7044,8722 is 2 .
LCM of 684,2614 is 893988.
The greatest common factor of 7044/684,8722/2614 = [GCF of 7044,8722]/[LCM of 684,2614]= 2/893988
Therefore, the GCF of 7044/684,8722/2614 is 2/893988.
To find the highest common factor of 7044,8722, we have to find the factors of both numbers and list the highest common factor.
The factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044
The factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722
The HCF of 7044,8722 is 2.
Lets's calculate GCF of 7044,8722
| 2 | 7044, 8722 |
| 3522, 4361 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7044,8722 By Matching Biggest Common Factor Method
Now, list down the factors of 7044
:1,2,3,4,6,12,587,1174,1761,2348,3522,7044
Now, list down the factors of 8722
:1,2,7,14,49,89,98,178,623,1246,4361,8722
Greatest Common Factor
We found the factors 7044,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 7044,8722 is 2.
Lets's calculate LCM of 684,2614
| 2 | 684, 2614 |
| 342, 1307 |
∴ So the LCM of the given numbers is 2 x 342 x 1307 = 893988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/893988
Therefore, the GCF of Fractions 7044/684,8722/2614 is 2/893988
Least Common Multiple of 684,2614 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 684,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,2614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,2614) x common factors =2 x 1 = 2
LCM(684,2614) = ( 684 × 2614 ) / 2
LCM(684,2614) = 1787976 / 2
LCM(684,2614) = 893988
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FAQs on GCF of Fractions of 7044/684, 8722/2614
1. What is the HCF of 7044,8722?
The HCF of 7044,8722 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 7044/684, 8722/2614?
Answer: GCF of Numerators as per given numbers 7044/684, 8722/2614 is
GCF of Numerators i.e. for 7044,8722 is 2
LCM of denominators i.e. for 684,2614 is 893988.
Thus, GCF of Fractions is 2/893988.Finally, GCF of Fractions for 7044/684, 8722/2614 is 2/893988.