GCF of 1722/688, 2620/8396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1722/688, 2620/8396 i.e 2/1444112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1722/688, 2620/8396.
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 1722/688,2620/8396?
Given fractions are 1722/688,2620/8396
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 1722/688,2620/8396, numerators are 1722,2620
Denominators are 688,8396
The GCF of 1722,2620 is 2 .
LCM of 688,8396 is 1444112.
The greatest common factor of 1722/688,2620/8396 = [GCF of 1722,2620]/[LCM of 688,8396]= 2/1444112
Therefore, the GCF of 1722/688,2620/8396 is 2/1444112.
To find the highest common factor of 1722,2620, we have to find the factors of both numbers and list the highest common factor.
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620
The HCF of 1722,2620 is 2.
Lets's calculate GCF of 1722,2620
| 2 | 1722, 2620 |
| 861, 1310 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1722,2620 By Matching Biggest Common Factor Method
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Now, list down the factors of 2620
:1,2,4,5,10,20,131,262,524,655,1310,2620
Greatest Common Factor
We found the factors 1722,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 1722,2620 is 2.
Lets's calculate LCM of 688,8396
| 2 | 688, 8396 |
| 2 | 344, 4198 |
| 172, 2099 |
∴ So the LCM of the given numbers is 2 x 2 x 172 x 2099 = 1444112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1444112
Therefore, the GCF of Fractions 1722/688,2620/8396 is 2/1444112
Least Common Multiple of 688,8396 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 688,8396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,8396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(688,8396) x common factors =4 x 1 = 4
LCM(688,8396) = ( 688 × 8396 ) / 4
LCM(688,8396) = 5776448 / 4
LCM(688,8396) = 1444112
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FAQs on GCF of Fractions of 1722/688, 2620/8396
1. What is the HCF of 1722,2620?
The HCF of 1722,2620 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 1722/688, 2620/8396?
Answer: GCF of Numerators as per given numbers 1722/688, 2620/8396 is
GCF of Numerators i.e. for 1722,2620 is 2
LCM of denominators i.e. for 688,8396 is 1444112.
Thus, GCF of Fractions is 2/1444112.Finally, GCF of Fractions for 1722/688, 2620/8396 is 2/1444112.