GCF of 7532/816, 7066/3193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7532/816, 7066/3193 i.e 2/2605488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7532/816, 7066/3193.
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 7532/816,7066/3193?
Given fractions are 7532/816,7066/3193
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 7532/816,7066/3193, numerators are 7532,7066
Denominators are 816,3193
The GCF of 7532,7066 is 2 .
LCM of 816,3193 is 2605488.
The greatest common factor of 7532/816,7066/3193 = [GCF of 7532,7066]/[LCM of 816,3193]= 2/2605488
Therefore, the GCF of 7532/816,7066/3193 is 2/2605488.
To find the highest common factor of 7532,7066, we have to find the factors of both numbers and list the highest common factor.
The factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
The factors of 7066 are 1, 2, 3533, 7066
The HCF of 7532,7066 is 2.
Lets's calculate GCF of 7532,7066
| 2 | 7532, 7066 |
| 3766, 3533 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7532,7066 By Matching Biggest Common Factor Method
Now, list down the factors of 7532
:1,2,4,7,14,28,269,538,1076,1883,3766,7532
Now, list down the factors of 7066
:1,2,3533,7066
Greatest Common Factor
We found the factors 7532,7066 . The biggest common factor number is the GCF number.
So the greatest common factor 7532,7066 is 2.
Lets's calculate LCM of 816,3193
Given numbers has no common factors except 1. So, there LCM is their product i.e 2605488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2605488
Therefore, the GCF of Fractions 7532/816,7066/3193 is 2/2605488
Least Common Multiple of 816,3193 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 816,3193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,3193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,3193) x common factors =1 x 1 = 1
LCM(816,3193) = ( 816 × 3193 ) / 1
LCM(816,3193) = 2605488 / 1
LCM(816,3193) = 2605488
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FAQs on GCF of Fractions of 7532/816, 7066/3193
1. What is the HCF of 7532,7066?
The HCF of 7532,7066 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 7532/816, 7066/3193?
Answer: GCF of Numerators as per given numbers 7532/816, 7066/3193 is
GCF of Numerators i.e. for 7532,7066 is 2
LCM of denominators i.e. for 816,3193 is 2605488.
Thus, GCF of Fractions is 2/2605488.Finally, GCF of Fractions for 7532/816, 7066/3193 is 2/2605488.