GCF of 2216/684, 5240/7586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2216/684, 5240/7586 i.e 8/2594412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2216/684, 5240/7586.
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 2216/684,5240/7586?
Given fractions are 2216/684,5240/7586
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 2216/684,5240/7586, numerators are 2216,5240
Denominators are 684,7586
The GCF of 2216,5240 is 8 .
LCM of 684,7586 is 2594412.
The greatest common factor of 2216/684,5240/7586 = [GCF of 2216,5240]/[LCM of 684,7586]= 8/2594412
Therefore, the GCF of 2216/684,5240/7586 is 8/2594412.
To find the highest common factor of 2216,5240, we have to find the factors of both numbers and list the highest common factor.
The factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216
The factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240
The HCF of 2216,5240 is 8.
Lets's calculate GCF of 2216,5240
| 2 | 2216, 5240 |
| 2 | 1108, 2620 |
| 2 | 554, 1310 |
| 277, 655 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2216,5240 By Matching Biggest Common Factor Method
Now, list down the factors of 2216
:1,2,4,8,277,554,1108,2216
Now, list down the factors of 5240
:1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240
Greatest Common Factor
We found the factors 2216,5240 . The biggest common factor number is the GCF number.
So the greatest common factor 2216,5240 is 8.
Lets's calculate LCM of 684,7586
| 2 | 684, 7586 |
| 342, 3793 |
∴ So the LCM of the given numbers is 2 x 342 x 3793 = 2594412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2594412
Therefore, the GCF of Fractions 2216/684,5240/7586 is 8/2594412
Least Common Multiple of 684,7586 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 684,7586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,7586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,7586) x common factors =2 x 1 = 2
LCM(684,7586) = ( 684 × 7586 ) / 2
LCM(684,7586) = 5188824 / 2
LCM(684,7586) = 2594412
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FAQs on GCF of Fractions of 2216/684, 5240/7586
1. What is the HCF of 2216,5240?
The HCF of 2216,5240 is 8
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 2216/684, 5240/7586?
Answer: GCF of Numerators as per given numbers 2216/684, 5240/7586 is
GCF of Numerators i.e. for 2216,5240 is 8
LCM of denominators i.e. for 684,7586 is 2594412.
Thus, GCF of Fractions is 8/2594412.Finally, GCF of Fractions for 2216/684, 5240/7586 is 8/2594412.