GCF of 1506/500, 3449/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1506/500, 3449/702 i.e 1/175500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1506/500, 3449/702.
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 1506/500,3449/702?
Given fractions are 1506/500,3449/702
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 1506/500,3449/702, numerators are 1506,3449
Denominators are 500,702
The GCF of 1506,3449 is 1 .
LCM of 500,702 is 175500.
The greatest common factor of 1506/500,3449/702 = [GCF of 1506,3449]/[LCM of 500,702]= 1/175500
Therefore, the GCF of 1506/500,3449/702 is 1/175500.
To find the highest common factor of 1506,3449, we have to find the factors of both numbers and list the highest common factor.
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The factors of 3449 are 1, 3449
The HCF of 1506,3449 is 1.
Lets's calculate GCF of 1506,3449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1506,3449 By Matching Biggest Common Factor Method
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Now, list down the factors of 3449
:1,3449
Greatest Common Factor
We found the factors 1506,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 1506,3449 is 1.
Lets's calculate LCM of 500,702
| 2 | 500, 702 |
| 250, 351 |
∴ So the LCM of the given numbers is 2 x 250 x 351 = 175500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175500
Therefore, the GCF of Fractions 1506/500,3449/702 is 1/175500
Least Common Multiple of 500,702 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 500,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(500,702) x common factors =2 x 1 = 2
LCM(500,702) = ( 500 × 702 ) / 2
LCM(500,702) = 351000 / 2
LCM(500,702) = 175500
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FAQs on GCF of Fractions of 1506/500, 3449/702
1. What is the HCF of 1506,3449?
The HCF of 1506,3449 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 1506/500, 3449/702?
Answer: GCF of Numerators as per given numbers 1506/500, 3449/702 is
GCF of Numerators i.e. for 1506,3449 is 1
LCM of denominators i.e. for 500,702 is 175500.
Thus, GCF of Fractions is 1/175500.Finally, GCF of Fractions for 1506/500, 3449/702 is 1/175500.