GCF of 1006/149, 1046/2050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1006/149, 1046/2050 i.e 2/305450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1006/149, 1046/2050.
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 1006/149,1046/2050?
Given fractions are 1006/149,1046/2050
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 1006/149,1046/2050, numerators are 1006,1046
Denominators are 149,2050
The GCF of 1006,1046 is 2 .
LCM of 149,2050 is 305450.
The greatest common factor of 1006/149,1046/2050 = [GCF of 1006,1046]/[LCM of 149,2050]= 2/305450
Therefore, the GCF of 1006/149,1046/2050 is 2/305450.
To find the highest common factor of 1006,1046, we have to find the factors of both numbers and list the highest common factor.
The factors of 1006 are 1, 2, 503, 1006
The factors of 1046 are 1, 2, 523, 1046
The HCF of 1006,1046 is 2.
Lets's calculate GCF of 1006,1046
| 2 | 1006, 1046 |
| 503, 523 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1006,1046 By Matching Biggest Common Factor Method
Now, list down the factors of 1006
:1,2,503,1006
Now, list down the factors of 1046
:1,2,523,1046
Greatest Common Factor
We found the factors 1006,1046 . The biggest common factor number is the GCF number.
So the greatest common factor 1006,1046 is 2.
Lets's calculate LCM of 149,2050
Given numbers has no common factors except 1. So, there LCM is their product i.e 305450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305450
Therefore, the GCF of Fractions 1006/149,1046/2050 is 2/305450
Least Common Multiple of 149,2050 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 149,2050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,2050) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,2050) x common factors =1 x 1 = 1
LCM(149,2050) = ( 149 × 2050 ) / 1
LCM(149,2050) = 305450 / 1
LCM(149,2050) = 305450
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FAQs on GCF of Fractions of 1006/149, 1046/2050
1. What is the HCF of 1006,1046?
The HCF of 1006,1046 is 2
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 1006/149, 1046/2050?
Answer: GCF of Numerators as per given numbers 1006/149, 1046/2050 is
GCF of Numerators i.e. for 1006,1046 is 2
LCM of denominators i.e. for 149,2050 is 305450.
Thus, GCF of Fractions is 2/305450.Finally, GCF of Fractions for 1006/149, 1046/2050 is 2/305450.