GCF of 6698/784, 5016/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6698/784, 5016/717 i.e 2/562128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6698/784, 5016/717.
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 6698/784,5016/717?
Given fractions are 6698/784,5016/717
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 6698/784,5016/717, numerators are 6698,5016
Denominators are 784,717
The GCF of 6698,5016 is 2 .
LCM of 784,717 is 562128.
The greatest common factor of 6698/784,5016/717 = [GCF of 6698,5016]/[LCM of 784,717]= 2/562128
Therefore, the GCF of 6698/784,5016/717 is 2/562128.
To find the highest common factor of 6698,5016, we have to find the factors of both numbers and list the highest common factor.
The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698
The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The HCF of 6698,5016 is 2.
Lets's calculate GCF of 6698,5016
| 2 | 6698, 5016 |
| 3349, 2508 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6698,5016 By Matching Biggest Common Factor Method
Now, list down the factors of 6698
:1,2,17,34,197,394,3349,6698
Now, list down the factors of 5016
:1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Greatest Common Factor
We found the factors 6698,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 6698,5016 is 2.
Lets's calculate LCM of 784,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 562128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/562128
Therefore, the GCF of Fractions 6698/784,5016/717 is 2/562128
Least Common Multiple of 784,717 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 784,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,717) x common factors =1 x 1 = 1
LCM(784,717) = ( 784 × 717 ) / 1
LCM(784,717) = 562128 / 1
LCM(784,717) = 562128
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FAQs on GCF of Fractions of 6698/784, 5016/717
1. What is the HCF of 6698,5016?
The HCF of 6698,5016 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 6698/784, 5016/717?
Answer: GCF of Numerators as per given numbers 6698/784, 5016/717 is
GCF of Numerators i.e. for 6698,5016 is 2
LCM of denominators i.e. for 784,717 is 562128.
Thus, GCF of Fractions is 2/562128.Finally, GCF of Fractions for 6698/784, 5016/717 is 2/562128.