GCF of 3485/825, 2906/7876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3485/825, 2906/7876 i.e 1/590700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3485/825, 2906/7876.
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 3485/825,2906/7876?
Given fractions are 3485/825,2906/7876
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 3485/825,2906/7876, numerators are 3485,2906
Denominators are 825,7876
The GCF of 3485,2906 is 1 .
LCM of 825,7876 is 590700.
The greatest common factor of 3485/825,2906/7876 = [GCF of 3485,2906]/[LCM of 825,7876]= 1/590700
Therefore, the GCF of 3485/825,2906/7876 is 1/590700.
To find the highest common factor of 3485,2906, we have to find the factors of both numbers and list the highest common factor.
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The factors of 2906 are 1, 2, 1453, 2906
The HCF of 3485,2906 is 1.
Lets's calculate GCF of 3485,2906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3485,2906 By Matching Biggest Common Factor Method
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Now, list down the factors of 2906
:1,2,1453,2906
Greatest Common Factor
We found the factors 3485,2906 . The biggest common factor number is the GCF number.
So the greatest common factor 3485,2906 is 1.
Lets's calculate LCM of 825,7876
| 11 | 825, 7876 |
| 75, 716 |
∴ So the LCM of the given numbers is 11 x 75 x 716 = 590700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590700
Therefore, the GCF of Fractions 3485/825,2906/7876 is 1/590700
Least Common Multiple of 825,7876 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 825,7876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7876) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7876) x common factors =11 x 1 = 11
LCM(825,7876) = ( 825 × 7876 ) / 11
LCM(825,7876) = 6497700 / 11
LCM(825,7876) = 590700
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FAQs on GCF of Fractions of 3485/825, 2906/7876
1. What is the HCF of 3485,2906?
The HCF of 3485,2906 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 3485/825, 2906/7876?
Answer: GCF of Numerators as per given numbers 3485/825, 2906/7876 is
GCF of Numerators i.e. for 3485,2906 is 1
LCM of denominators i.e. for 825,7876 is 590700.
Thus, GCF of Fractions is 1/590700.Finally, GCF of Fractions for 3485/825, 2906/7876 is 1/590700.