GCF of 4781/434, 3874/3045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4781/434, 3874/3045 i.e 1/188790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4781/434, 3874/3045.
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 4781/434,3874/3045?
Given fractions are 4781/434,3874/3045
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 4781/434,3874/3045, numerators are 4781,3874
Denominators are 434,3045
The GCF of 4781,3874 is 1 .
LCM of 434,3045 is 188790.
The greatest common factor of 4781/434,3874/3045 = [GCF of 4781,3874]/[LCM of 434,3045]= 1/188790
Therefore, the GCF of 4781/434,3874/3045 is 1/188790.
To find the highest common factor of 4781,3874, we have to find the factors of both numbers and list the highest common factor.
The factors of 4781 are 1, 7, 683, 4781
The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874
The HCF of 4781,3874 is 1.
Lets's calculate GCF of 4781,3874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4781,3874 By Matching Biggest Common Factor Method
Now, list down the factors of 4781
:1,7,683,4781
Now, list down the factors of 3874
:1,2,13,26,149,298,1937,3874
Greatest Common Factor
We found the factors 4781,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 4781,3874 is 1.
Lets's calculate LCM of 434,3045
| 7 | 434, 3045 |
| 62, 435 |
∴ So the LCM of the given numbers is 7 x 62 x 435 = 188790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188790
Therefore, the GCF of Fractions 4781/434,3874/3045 is 1/188790
Least Common Multiple of 434,3045 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 434,3045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,3045) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(434,3045) x common factors =7 x 1 = 7
LCM(434,3045) = ( 434 × 3045 ) / 7
LCM(434,3045) = 1321530 / 7
LCM(434,3045) = 188790
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FAQs on GCF of Fractions of 4781/434, 3874/3045
1. What is the HCF of 4781,3874?
The HCF of 4781,3874 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 4781/434, 3874/3045?
Answer: GCF of Numerators as per given numbers 4781/434, 3874/3045 is
GCF of Numerators i.e. for 4781,3874 is 1
LCM of denominators i.e. for 434,3045 is 188790.
Thus, GCF of Fractions is 1/188790.Finally, GCF of Fractions for 4781/434, 3874/3045 is 1/188790.