GCF of 3761/892, 5810/7402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3761/892, 5810/7402 i.e 1/3301292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3761/892, 5810/7402.
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 3761/892,5810/7402?
Given fractions are 3761/892,5810/7402
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 3761/892,5810/7402, numerators are 3761,5810
Denominators are 892,7402
The GCF of 3761,5810 is 1 .
LCM of 892,7402 is 3301292.
The greatest common factor of 3761/892,5810/7402 = [GCF of 3761,5810]/[LCM of 892,7402]= 1/3301292
Therefore, the GCF of 3761/892,5810/7402 is 1/3301292.
To find the highest common factor of 3761,5810, we have to find the factors of both numbers and list the highest common factor.
The factors of 3761 are 1, 3761
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The HCF of 3761,5810 is 1.
Lets's calculate GCF of 3761,5810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3761,5810 By Matching Biggest Common Factor Method
Now, list down the factors of 3761
:1,3761
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 3761,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 3761,5810 is 1.
Lets's calculate LCM of 892,7402
| 2 | 892, 7402 |
| 446, 3701 |
∴ So the LCM of the given numbers is 2 x 446 x 3701 = 3301292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3301292
Therefore, the GCF of Fractions 3761/892,5810/7402 is 1/3301292
Least Common Multiple of 892,7402 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 892,7402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,7402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,7402) x common factors =2 x 1 = 2
LCM(892,7402) = ( 892 × 7402 ) / 2
LCM(892,7402) = 6602584 / 2
LCM(892,7402) = 3301292
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FAQs on GCF of Fractions of 3761/892, 5810/7402
1. What is the HCF of 3761,5810?
The HCF of 3761,5810 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 3761/892, 5810/7402?
Answer: GCF of Numerators as per given numbers 3761/892, 5810/7402 is
GCF of Numerators i.e. for 3761,5810 is 1
LCM of denominators i.e. for 892,7402 is 3301292.
Thus, GCF of Fractions is 1/3301292.Finally, GCF of Fractions for 3761/892, 5810/7402 is 1/3301292.