GCF of 8706/755, 4054/1854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8706/755, 4054/1854 i.e 2/1399770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8706/755, 4054/1854.
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 8706/755,4054/1854?
Given fractions are 8706/755,4054/1854
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 8706/755,4054/1854, numerators are 8706,4054
Denominators are 755,1854
The GCF of 8706,4054 is 2 .
LCM of 755,1854 is 1399770.
The greatest common factor of 8706/755,4054/1854 = [GCF of 8706,4054]/[LCM of 755,1854]= 2/1399770
Therefore, the GCF of 8706/755,4054/1854 is 2/1399770.
To find the highest common factor of 8706,4054, we have to find the factors of both numbers and list the highest common factor.
The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706
The factors of 4054 are 1, 2, 2027, 4054
The HCF of 8706,4054 is 2.
Lets's calculate GCF of 8706,4054
| 2 | 8706, 4054 |
| 4353, 2027 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8706,4054 By Matching Biggest Common Factor Method
Now, list down the factors of 8706
:1,2,3,6,1451,2902,4353,8706
Now, list down the factors of 4054
:1,2,2027,4054
Greatest Common Factor
We found the factors 8706,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 8706,4054 is 2.
Lets's calculate LCM of 755,1854
Given numbers has no common factors except 1. So, there LCM is their product i.e 1399770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1399770
Therefore, the GCF of Fractions 8706/755,4054/1854 is 2/1399770
Least Common Multiple of 755,1854 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 755,1854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,1854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,1854) x common factors =1 x 1 = 1
LCM(755,1854) = ( 755 × 1854 ) / 1
LCM(755,1854) = 1399770 / 1
LCM(755,1854) = 1399770
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FAQs on GCF of Fractions of 8706/755, 4054/1854
1. What is the HCF of 8706,4054?
The HCF of 8706,4054 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 8706/755, 4054/1854?
Answer: GCF of Numerators as per given numbers 8706/755, 4054/1854 is
GCF of Numerators i.e. for 8706,4054 is 2
LCM of denominators i.e. for 755,1854 is 1399770.
Thus, GCF of Fractions is 2/1399770.Finally, GCF of Fractions for 8706/755, 4054/1854 is 2/1399770.