GCF of 7065/663, 3534/1661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7065/663, 3534/1661 i.e 3/1101243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7065/663, 3534/1661.
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 7065/663,3534/1661?
Given fractions are 7065/663,3534/1661
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 7065/663,3534/1661, numerators are 7065,3534
Denominators are 663,1661
The GCF of 7065,3534 is 3 .
LCM of 663,1661 is 1101243.
The greatest common factor of 7065/663,3534/1661 = [GCF of 7065,3534]/[LCM of 663,1661]= 3/1101243
Therefore, the GCF of 7065/663,3534/1661 is 3/1101243.
To find the highest common factor of 7065,3534, we have to find the factors of both numbers and list the highest common factor.
The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065
The factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534
The HCF of 7065,3534 is 3.
Lets's calculate GCF of 7065,3534
| 3 | 7065, 3534 |
| 2355, 1178 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7065,3534 By Matching Biggest Common Factor Method
Now, list down the factors of 7065
:1,3,5,9,15,45,157,471,785,1413,2355,7065
Now, list down the factors of 3534
:1,2,3,6,19,31,38,57,62,93,114,186,589,1178,1767,3534
Greatest Common Factor
We found the factors 7065,3534 . The biggest common factor number is the GCF number.
So the greatest common factor 7065,3534 is 3.
Lets's calculate LCM of 663,1661
Given numbers has no common factors except 1. So, there LCM is their product i.e 1101243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1101243
Therefore, the GCF of Fractions 7065/663,3534/1661 is 3/1101243
Least Common Multiple of 663,1661 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 663,1661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,1661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,1661) x common factors =1 x 1 = 1
LCM(663,1661) = ( 663 × 1661 ) / 1
LCM(663,1661) = 1101243 / 1
LCM(663,1661) = 1101243
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FAQs on GCF of Fractions of 7065/663, 3534/1661
1. What is the HCF of 7065,3534?
The HCF of 7065,3534 is 3
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 7065/663, 3534/1661?
Answer: GCF of Numerators as per given numbers 7065/663, 3534/1661 is
GCF of Numerators i.e. for 7065,3534 is 3
LCM of denominators i.e. for 663,1661 is 1101243.
Thus, GCF of Fractions is 3/1101243.Finally, GCF of Fractions for 7065/663, 3534/1661 is 3/1101243.