GCF of 8522/740, 3002/5742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8522/740, 3002/5742 i.e 2/2124540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8522/740, 3002/5742.
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 8522/740,3002/5742?
Given fractions are 8522/740,3002/5742
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 8522/740,3002/5742, numerators are 8522,3002
Denominators are 740,5742
The GCF of 8522,3002 is 2 .
LCM of 740,5742 is 2124540.
The greatest common factor of 8522/740,3002/5742 = [GCF of 8522,3002]/[LCM of 740,5742]= 2/2124540
Therefore, the GCF of 8522/740,3002/5742 is 2/2124540.
To find the highest common factor of 8522,3002, we have to find the factors of both numbers and list the highest common factor.
The factors of 8522 are 1, 2, 4261, 8522
The factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002
The HCF of 8522,3002 is 2.
Lets's calculate GCF of 8522,3002
| 2 | 8522, 3002 |
| 4261, 1501 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8522,3002 By Matching Biggest Common Factor Method
Now, list down the factors of 8522
:1,2,4261,8522
Now, list down the factors of 3002
:1,2,19,38,79,158,1501,3002
Greatest Common Factor
We found the factors 8522,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 8522,3002 is 2.
Lets's calculate LCM of 740,5742
| 2 | 740, 5742 |
| 370, 2871 |
∴ So the LCM of the given numbers is 2 x 370 x 2871 = 2124540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2124540
Therefore, the GCF of Fractions 8522/740,3002/5742 is 2/2124540
Least Common Multiple of 740,5742 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 740,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,5742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,5742) x common factors =2 x 1 = 2
LCM(740,5742) = ( 740 × 5742 ) / 2
LCM(740,5742) = 4249080 / 2
LCM(740,5742) = 2124540
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FAQs on GCF of Fractions of 8522/740, 3002/5742
1. What is the HCF of 8522,3002?
The HCF of 8522,3002 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 8522/740, 3002/5742?
Answer: GCF of Numerators as per given numbers 8522/740, 3002/5742 is
GCF of Numerators i.e. for 8522,3002 is 2
LCM of denominators i.e. for 740,5742 is 2124540.
Thus, GCF of Fractions is 2/2124540.Finally, GCF of Fractions for 8522/740, 3002/5742 is 2/2124540.