GCF of 3889/326, 8470/5698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3889/326, 8470/5698 i.e 1/928774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3889/326, 8470/5698.
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 3889/326,8470/5698?
Given fractions are 3889/326,8470/5698
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 3889/326,8470/5698, numerators are 3889,8470
Denominators are 326,5698
The GCF of 3889,8470 is 1 .
LCM of 326,5698 is 928774.
The greatest common factor of 3889/326,8470/5698 = [GCF of 3889,8470]/[LCM of 326,5698]= 1/928774
Therefore, the GCF of 3889/326,8470/5698 is 1/928774.
To find the highest common factor of 3889,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 3889 are 1, 3889
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 3889,8470 is 1.
Lets's calculate GCF of 3889,8470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3889,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 3889
:1,3889
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 3889,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 3889,8470 is 1.
Lets's calculate LCM of 326,5698
| 2 | 326, 5698 |
| 163, 2849 |
∴ So the LCM of the given numbers is 2 x 163 x 2849 = 928774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928774
Therefore, the GCF of Fractions 3889/326,8470/5698 is 1/928774
Least Common Multiple of 326,5698 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 326,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5698) x common factors =2 x 1 = 2
LCM(326,5698) = ( 326 × 5698 ) / 2
LCM(326,5698) = 1857548 / 2
LCM(326,5698) = 928774
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FAQs on GCF of Fractions of 3889/326, 8470/5698
1. What is the HCF of 3889,8470?
The HCF of 3889,8470 is 1
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 3889/326, 8470/5698?
Answer: GCF of Numerators as per given numbers 3889/326, 8470/5698 is
GCF of Numerators i.e. for 3889,8470 is 1
LCM of denominators i.e. for 326,5698 is 928774.
Thus, GCF of Fractions is 1/928774.Finally, GCF of Fractions for 3889/326, 8470/5698 is 1/928774.