GCF of 3335/651, 7098/5182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3335/651, 7098/5182 i.e 1/3373482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3335/651, 7098/5182.
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 3335/651,7098/5182?
Given fractions are 3335/651,7098/5182
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 3335/651,7098/5182, numerators are 3335,7098
Denominators are 651,5182
The GCF of 3335,7098 is 1 .
LCM of 651,5182 is 3373482.
The greatest common factor of 3335/651,7098/5182 = [GCF of 3335,7098]/[LCM of 651,5182]= 1/3373482
Therefore, the GCF of 3335/651,7098/5182 is 1/3373482.
To find the highest common factor of 3335,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 3335 are 1, 5, 23, 29, 115, 145, 667, 3335
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 3335,7098 is 1.
Lets's calculate GCF of 3335,7098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3335,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 3335
:1,5,23,29,115,145,667,3335
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 3335,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 3335,7098 is 1.
Lets's calculate LCM of 651,5182
Given numbers has no common factors except 1. So, there LCM is their product i.e 3373482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3373482
Therefore, the GCF of Fractions 3335/651,7098/5182 is 1/3373482
Least Common Multiple of 651,5182 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 651,5182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,5182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,5182) x common factors =1 x 1 = 1
LCM(651,5182) = ( 651 × 5182 ) / 1
LCM(651,5182) = 3373482 / 1
LCM(651,5182) = 3373482
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3335/651, 7098/5182
1. What is the HCF of 3335,7098?
The HCF of 3335,7098 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 3335/651, 7098/5182?
Answer: GCF of Numerators as per given numbers 3335/651, 7098/5182 is
GCF of Numerators i.e. for 3335,7098 is 1
LCM of denominators i.e. for 651,5182 is 3373482.
Thus, GCF of Fractions is 1/3373482.Finally, GCF of Fractions for 3335/651, 7098/5182 is 1/3373482.