GCF of 1820/961, 4190/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1820/961, 4190/141 i.e 10/135501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1820/961, 4190/141.
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 1820/961,4190/141?
Given fractions are 1820/961,4190/141
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 1820/961,4190/141, numerators are 1820,4190
Denominators are 961,141
The GCF of 1820,4190 is 10 .
LCM of 961,141 is 135501.
The greatest common factor of 1820/961,4190/141 = [GCF of 1820,4190]/[LCM of 961,141]= 10/135501
Therefore, the GCF of 1820/961,4190/141 is 10/135501.
To find the highest common factor of 1820,4190, we have to find the factors of both numbers and list the highest common factor.
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The HCF of 1820,4190 is 10.
Lets's calculate GCF of 1820,4190
| 2 | 1820, 4190 |
| 5 | 910, 2095 |
| 182, 419 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1820,4190 By Matching Biggest Common Factor Method
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Greatest Common Factor
We found the factors 1820,4190 . The biggest common factor number is the GCF number.
So the greatest common factor 1820,4190 is 10.
Lets's calculate LCM of 961,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 135501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/135501
Therefore, the GCF of Fractions 1820/961,4190/141 is 10/135501
Least Common Multiple of 961,141 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 961,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,141) x common factors =1 x 1 = 1
LCM(961,141) = ( 961 × 141 ) / 1
LCM(961,141) = 135501 / 1
LCM(961,141) = 135501
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FAQs on GCF of Fractions of 1820/961, 4190/141
1. What is the HCF of 1820,4190?
The HCF of 1820,4190 is 10
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 1820/961, 4190/141?
Answer: GCF of Numerators as per given numbers 1820/961, 4190/141 is
GCF of Numerators i.e. for 1820,4190 is 10
LCM of denominators i.e. for 961,141 is 135501.
Thus, GCF of Fractions is 10/135501.Finally, GCF of Fractions for 1820/961, 4190/141 is 10/135501.