GCF of 3464/426, 7684/8181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3464/426, 7684/8181 i.e 4/1161702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3464/426, 7684/8181.
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 3464/426,7684/8181?
Given fractions are 3464/426,7684/8181
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 3464/426,7684/8181, numerators are 3464,7684
Denominators are 426,8181
The GCF of 3464,7684 is 4 .
LCM of 426,8181 is 1161702.
The greatest common factor of 3464/426,7684/8181 = [GCF of 3464,7684]/[LCM of 426,8181]= 4/1161702
Therefore, the GCF of 3464/426,7684/8181 is 4/1161702.
To find the highest common factor of 3464,7684, we have to find the factors of both numbers and list the highest common factor.
The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464
The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
The HCF of 3464,7684 is 4.
Lets's calculate GCF of 3464,7684
| 2 | 3464, 7684 |
| 2 | 1732, 3842 |
| 866, 1921 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3464,7684 By Matching Biggest Common Factor Method
Now, list down the factors of 3464
:1,2,4,8,433,866,1732,3464
Now, list down the factors of 7684
:1,2,4,17,34,68,113,226,452,1921,3842,7684
Greatest Common Factor
We found the factors 3464,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 3464,7684 is 4.
Lets's calculate LCM of 426,8181
| 3 | 426, 8181 |
| 142, 2727 |
∴ So the LCM of the given numbers is 3 x 142 x 2727 = 1161702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1161702
Therefore, the GCF of Fractions 3464/426,7684/8181 is 4/1161702
Least Common Multiple of 426,8181 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 426,8181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,8181) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(426,8181) x common factors =3 x 1 = 3
LCM(426,8181) = ( 426 × 8181 ) / 3
LCM(426,8181) = 3485106 / 3
LCM(426,8181) = 1161702
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FAQs on GCF of Fractions of 3464/426, 7684/8181
1. What is the HCF of 3464,7684?
The HCF of 3464,7684 is 4
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 3464/426, 7684/8181?
Answer: GCF of Numerators as per given numbers 3464/426, 7684/8181 is
GCF of Numerators i.e. for 3464,7684 is 4
LCM of denominators i.e. for 426,8181 is 1161702.
Thus, GCF of Fractions is 4/1161702.Finally, GCF of Fractions for 3464/426, 7684/8181 is 4/1161702.