GCF of 739/214, 5698/763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 739/214, 5698/763 i.e 1/163282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/214, 5698/763.
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 739/214,5698/763?
Given fractions are 739/214,5698/763
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 739/214,5698/763, numerators are 739,5698
Denominators are 214,763
The GCF of 739,5698 is 1 .
LCM of 214,763 is 163282.
The greatest common factor of 739/214,5698/763 = [GCF of 739,5698]/[LCM of 214,763]= 1/163282
Therefore, the GCF of 739/214,5698/763 is 1/163282.
To find the highest common factor of 739,5698, we have to find the factors of both numbers and list the highest common factor.
The factors of 739 are 1, 739
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The HCF of 739,5698 is 1.
Lets's calculate GCF of 739,5698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 739,5698 By Matching Biggest Common Factor Method
Now, list down the factors of 739
:1,739
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Greatest Common Factor
We found the factors 739,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 739,5698 is 1.
Lets's calculate LCM of 214,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 163282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163282
Therefore, the GCF of Fractions 739/214,5698/763 is 1/163282
Least Common Multiple of 214,763 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 214,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,763) x common factors =1 x 1 = 1
LCM(214,763) = ( 214 × 763 ) / 1
LCM(214,763) = 163282 / 1
LCM(214,763) = 163282
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FAQs on GCF of Fractions of 739/214, 5698/763
1. What is the HCF of 739,5698?
The HCF of 739,5698 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 739/214, 5698/763?
Answer: GCF of Numerators as per given numbers 739/214, 5698/763 is
GCF of Numerators i.e. for 739,5698 is 1
LCM of denominators i.e. for 214,763 is 163282.
Thus, GCF of Fractions is 1/163282.Finally, GCF of Fractions for 739/214, 5698/763 is 1/163282.