GCF of 103/848, 3502/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 103/848, 3502/706 i.e 103/299344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/848, 3502/706.
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 103/848,3502/706?
Given fractions are 103/848,3502/706
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 103/848,3502/706, numerators are 103,3502
Denominators are 848,706
The GCF of 103,3502 is 103 .
LCM of 848,706 is 299344.
The greatest common factor of 103/848,3502/706 = [GCF of 103,3502]/[LCM of 848,706]= 103/299344
Therefore, the GCF of 103/848,3502/706 is 103/299344.
To find the highest common factor of 103,3502, we have to find the factors of both numbers and list the highest common factor.
The factors of 103 are 1, 103
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The HCF of 103,3502 is 103.
Lets's calculate GCF of 103,3502
| 103 | 103, 3502 |
| 1, 34 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 103,3502 By Matching Biggest Common Factor Method
Now, list down the factors of 103
:1,103
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Greatest Common Factor
We found the factors 103,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 103,3502 is 103.
Lets's calculate LCM of 848,706
| 2 | 848, 706 |
| 424, 353 |
∴ So the LCM of the given numbers is 2 x 424 x 353 = 299344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/299344
Therefore, the GCF of Fractions 103/848,3502/706 is 103/299344
Least Common Multiple of 848,706 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 848,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,706) x common factors =2 x 1 = 2
LCM(848,706) = ( 848 × 706 ) / 2
LCM(848,706) = 598688 / 2
LCM(848,706) = 299344
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FAQs on GCF of Fractions of 103/848, 3502/706
1. What is the HCF of 103,3502?
The HCF of 103,3502 is 103
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 103/848, 3502/706?
Answer: GCF of Numerators as per given numbers 103/848, 3502/706 is
GCF of Numerators i.e. for 103,3502 is 103
LCM of denominators i.e. for 848,706 is 299344.
Thus, GCF of Fractions is 103/299344.Finally, GCF of Fractions for 103/848, 3502/706 is 103/299344.