GCF of 7502/961, 3780/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7502/961, 3780/168 i.e 2/161448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7502/961, 3780/168.
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 7502/961,3780/168?
Given fractions are 7502/961,3780/168
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 7502/961,3780/168, numerators are 7502,3780
Denominators are 961,168
The GCF of 7502,3780 is 2 .
LCM of 961,168 is 161448.
The greatest common factor of 7502/961,3780/168 = [GCF of 7502,3780]/[LCM of 961,168]= 2/161448
Therefore, the GCF of 7502/961,3780/168 is 2/161448.
To find the highest common factor of 7502,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 7502,3780 is 2.
Lets's calculate GCF of 7502,3780
| 2 | 7502, 3780 |
| 3751, 1890 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7502,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 7502,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,3780 is 2.
Lets's calculate LCM of 961,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 161448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161448
Therefore, the GCF of Fractions 7502/961,3780/168 is 2/161448
Least Common Multiple of 961,168 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 961,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,168) x common factors =1 x 1 = 1
LCM(961,168) = ( 961 × 168 ) / 1
LCM(961,168) = 161448 / 1
LCM(961,168) = 161448
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FAQs on GCF of Fractions of 7502/961, 3780/168
1. What is the HCF of 7502,3780?
The HCF of 7502,3780 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 7502/961, 3780/168?
Answer: GCF of Numerators as per given numbers 7502/961, 3780/168 is
GCF of Numerators i.e. for 7502,3780 is 2
LCM of denominators i.e. for 961,168 is 161448.
Thus, GCF of Fractions is 2/161448.Finally, GCF of Fractions for 7502/961, 3780/168 is 2/161448.