GCF of 3082/761, 7532/8004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3082/761, 7532/8004 i.e 2/6091044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/761, 7532/8004.
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 3082/761,7532/8004?
Given fractions are 3082/761,7532/8004
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 3082/761,7532/8004, numerators are 3082,7532
Denominators are 761,8004
The GCF of 3082,7532 is 2 .
LCM of 761,8004 is 6091044.
The greatest common factor of 3082/761,7532/8004 = [GCF of 3082,7532]/[LCM of 761,8004]= 2/6091044
Therefore, the GCF of 3082/761,7532/8004 is 2/6091044.
To find the highest common factor of 3082,7532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
The HCF of 3082,7532 is 2.
Lets's calculate GCF of 3082,7532
| 2 | 3082, 7532 |
| 1541, 3766 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3082,7532 By Matching Biggest Common Factor Method
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Now, list down the factors of 7532
:1,2,4,7,14,28,269,538,1076,1883,3766,7532
Greatest Common Factor
We found the factors 3082,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,7532 is 2.
Lets's calculate LCM of 761,8004
Given numbers has no common factors except 1. So, there LCM is their product i.e 6091044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6091044
Therefore, the GCF of Fractions 3082/761,7532/8004 is 2/6091044
Least Common Multiple of 761,8004 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 761,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,8004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,8004) x common factors =1 x 1 = 1
LCM(761,8004) = ( 761 × 8004 ) / 1
LCM(761,8004) = 6091044 / 1
LCM(761,8004) = 6091044
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FAQs on GCF of Fractions of 3082/761, 7532/8004
1. What is the HCF of 3082,7532?
The HCF of 3082,7532 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 3082/761, 7532/8004?
Answer: GCF of Numerators as per given numbers 3082/761, 7532/8004 is
GCF of Numerators i.e. for 3082,7532 is 2
LCM of denominators i.e. for 761,8004 is 6091044.
Thus, GCF of Fractions is 2/6091044.Finally, GCF of Fractions for 3082/761, 7532/8004 is 2/6091044.