GCF of 1403/702, 3518/4353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/702, 3518/4353 i.e 1/1018602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/702, 3518/4353.
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 1403/702,3518/4353?
Given fractions are 1403/702,3518/4353
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 1403/702,3518/4353, numerators are 1403,3518
Denominators are 702,4353
The GCF of 1403,3518 is 1 .
LCM of 702,4353 is 1018602.
The greatest common factor of 1403/702,3518/4353 = [GCF of 1403,3518]/[LCM of 702,4353]= 1/1018602
Therefore, the GCF of 1403/702,3518/4353 is 1/1018602.
To find the highest common factor of 1403,3518, we have to find the factors of both numbers and list the highest common factor.
The factors of 1403 are 1, 23, 61, 1403
The factors of 3518 are 1, 2, 1759, 3518
The HCF of 1403,3518 is 1.
Lets's calculate GCF of 1403,3518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1403,3518 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 3518
:1,2,1759,3518
Greatest Common Factor
We found the factors 1403,3518 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,3518 is 1.
Lets's calculate LCM of 702,4353
| 3 | 702, 4353 |
| 234, 1451 |
∴ So the LCM of the given numbers is 3 x 234 x 1451 = 1018602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1018602
Therefore, the GCF of Fractions 1403/702,3518/4353 is 1/1018602
Least Common Multiple of 702,4353 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 702,4353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,4353) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(702,4353) x common factors =3 x 1 = 3
LCM(702,4353) = ( 702 × 4353 ) / 3
LCM(702,4353) = 3055806 / 3
LCM(702,4353) = 1018602
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FAQs on GCF of Fractions of 1403/702, 3518/4353
1. What is the HCF of 1403,3518?
The HCF of 1403,3518 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 1403/702, 3518/4353?
Answer: GCF of Numerators as per given numbers 1403/702, 3518/4353 is
GCF of Numerators i.e. for 1403,3518 is 1
LCM of denominators i.e. for 702,4353 is 1018602.
Thus, GCF of Fractions is 1/1018602.Finally, GCF of Fractions for 1403/702, 3518/4353 is 1/1018602.