GCF of 3202/945, 1501/3258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3202/945, 1501/3258 i.e 1/342090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3202/945, 1501/3258.
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 3202/945,1501/3258?
Given fractions are 3202/945,1501/3258
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 3202/945,1501/3258, numerators are 3202,1501
Denominators are 945,3258
The GCF of 3202,1501 is 1 .
LCM of 945,3258 is 342090.
The greatest common factor of 3202/945,1501/3258 = [GCF of 3202,1501]/[LCM of 945,3258]= 1/342090
Therefore, the GCF of 3202/945,1501/3258 is 1/342090.
To find the highest common factor of 3202,1501, we have to find the factors of both numbers and list the highest common factor.
The factors of 3202 are 1, 2, 1601, 3202
The factors of 1501 are 1, 19, 79, 1501
The HCF of 3202,1501 is 1.
Lets's calculate GCF of 3202,1501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3202,1501 By Matching Biggest Common Factor Method
Now, list down the factors of 3202
:1,2,1601,3202
Now, list down the factors of 1501
:1,19,79,1501
Greatest Common Factor
We found the factors 3202,1501 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,1501 is 1.
Lets's calculate LCM of 945,3258
| 3 | 945, 3258 |
| 3 | 315, 1086 |
| 105, 362 |
∴ So the LCM of the given numbers is 3 x 3 x 105 x 362 = 342090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342090
Therefore, the GCF of Fractions 3202/945,1501/3258 is 1/342090
Least Common Multiple of 945,3258 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 945,3258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,3258) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(945,3258) x common factors =9 x 1 = 9
LCM(945,3258) = ( 945 × 3258 ) / 9
LCM(945,3258) = 3078810 / 9
LCM(945,3258) = 342090
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FAQs on GCF of Fractions of 3202/945, 1501/3258
1. What is the HCF of 3202,1501?
The HCF of 3202,1501 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 3202/945, 1501/3258?
Answer: GCF of Numerators as per given numbers 3202/945, 1501/3258 is
GCF of Numerators i.e. for 3202,1501 is 1
LCM of denominators i.e. for 945,3258 is 342090.
Thus, GCF of Fractions is 1/342090.Finally, GCF of Fractions for 3202/945, 1501/3258 is 1/342090.