GCF of 2626/874, 7370/3505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2626/874, 7370/3505 i.e 2/3063370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2626/874, 7370/3505.
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 2626/874,7370/3505?
Given fractions are 2626/874,7370/3505
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 2626/874,7370/3505, numerators are 2626,7370
Denominators are 874,3505
The GCF of 2626,7370 is 2 .
LCM of 874,3505 is 3063370.
The greatest common factor of 2626/874,7370/3505 = [GCF of 2626,7370]/[LCM of 874,3505]= 2/3063370
Therefore, the GCF of 2626/874,7370/3505 is 2/3063370.
To find the highest common factor of 2626,7370, we have to find the factors of both numbers and list the highest common factor.
The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The HCF of 2626,7370 is 2.
Lets's calculate GCF of 2626,7370
| 2 | 2626, 7370 |
| 1313, 3685 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2626,7370 By Matching Biggest Common Factor Method
Now, list down the factors of 2626
:1,2,13,26,101,202,1313,2626
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Greatest Common Factor
We found the factors 2626,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 2626,7370 is 2.
Lets's calculate LCM of 874,3505
Given numbers has no common factors except 1. So, there LCM is their product i.e 3063370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3063370
Therefore, the GCF of Fractions 2626/874,7370/3505 is 2/3063370
Least Common Multiple of 874,3505 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 874,3505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,3505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,3505) x common factors =1 x 1 = 1
LCM(874,3505) = ( 874 × 3505 ) / 1
LCM(874,3505) = 3063370 / 1
LCM(874,3505) = 3063370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2626/874, 7370/3505
1. What is the HCF of 2626,7370?
The HCF of 2626,7370 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 2626/874, 7370/3505?
Answer: GCF of Numerators as per given numbers 2626/874, 7370/3505 is
GCF of Numerators i.e. for 2626,7370 is 2
LCM of denominators i.e. for 874,3505 is 3063370.
Thus, GCF of Fractions is 2/3063370.Finally, GCF of Fractions for 2626/874, 7370/3505 is 2/3063370.