GCF of 1798/708, 6859/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/708, 6859/5155 i.e 1/3649740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/708, 6859/5155.
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 1798/708,6859/5155?
Given fractions are 1798/708,6859/5155
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 1798/708,6859/5155, numerators are 1798,6859
Denominators are 708,5155
The GCF of 1798,6859 is 1 .
LCM of 708,5155 is 3649740.
The greatest common factor of 1798/708,6859/5155 = [GCF of 1798,6859]/[LCM of 708,5155]= 1/3649740
Therefore, the GCF of 1798/708,6859/5155 is 1/3649740.
To find the highest common factor of 1798,6859, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 6859 are 1, 19, 361, 6859
The HCF of 1798,6859 is 1.
Lets's calculate GCF of 1798,6859
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1798,6859 By Matching Biggest Common Factor Method
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 6859
:1,19,361,6859
Greatest Common Factor
We found the factors 1798,6859 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,6859 is 1.
Lets's calculate LCM of 708,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 3649740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3649740
Therefore, the GCF of Fractions 1798/708,6859/5155 is 1/3649740
Least Common Multiple of 708,5155 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 708,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(708,5155) x common factors =1 x 1 = 1
LCM(708,5155) = ( 708 × 5155 ) / 1
LCM(708,5155) = 3649740 / 1
LCM(708,5155) = 3649740
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FAQs on GCF of Fractions of 1798/708, 6859/5155
1. What is the HCF of 1798,6859?
The HCF of 1798,6859 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 1798/708, 6859/5155?
Answer: GCF of Numerators as per given numbers 1798/708, 6859/5155 is
GCF of Numerators i.e. for 1798,6859 is 1
LCM of denominators i.e. for 708,5155 is 3649740.
Thus, GCF of Fractions is 1/3649740.Finally, GCF of Fractions for 1798/708, 6859/5155 is 1/3649740.