GCF of 7018/669, 9292/8169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/669, 9292/8169 i.e 2/1821687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/669, 9292/8169.
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 7018/669,9292/8169?
Given fractions are 7018/669,9292/8169
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 7018/669,9292/8169, numerators are 7018,9292
Denominators are 669,8169
The GCF of 7018,9292 is 2 .
LCM of 669,8169 is 1821687.
The greatest common factor of 7018/669,9292/8169 = [GCF of 7018,9292]/[LCM of 669,8169]= 2/1821687
Therefore, the GCF of 7018/669,9292/8169 is 2/1821687.
To find the highest common factor of 7018,9292, we have to find the factors of both numbers and list the highest common factor.
The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
The factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292
The HCF of 7018,9292 is 2.
Lets's calculate GCF of 7018,9292
| 2 | 7018, 9292 |
| 3509, 4646 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7018,9292 By Matching Biggest Common Factor Method
Now, list down the factors of 7018
:1,2,11,22,29,58,121,242,319,638,3509,7018
Now, list down the factors of 9292
:1,2,4,23,46,92,101,202,404,2323,4646,9292
Greatest Common Factor
We found the factors 7018,9292 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,9292 is 2.
Lets's calculate LCM of 669,8169
| 3 | 669, 8169 |
| 223, 2723 |
∴ So the LCM of the given numbers is 3 x 223 x 2723 = 1821687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1821687
Therefore, the GCF of Fractions 7018/669,9292/8169 is 2/1821687
Least Common Multiple of 669,8169 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 669,8169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,8169) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,8169) x common factors =3 x 1 = 3
LCM(669,8169) = ( 669 × 8169 ) / 3
LCM(669,8169) = 5465061 / 3
LCM(669,8169) = 1821687
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FAQs on GCF of Fractions of 7018/669, 9292/8169
1. What is the HCF of 7018,9292?
The HCF of 7018,9292 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 7018/669, 9292/8169?
Answer: GCF of Numerators as per given numbers 7018/669, 9292/8169 is
GCF of Numerators i.e. for 7018,9292 is 2
LCM of denominators i.e. for 669,8169 is 1821687.
Thus, GCF of Fractions is 2/1821687.Finally, GCF of Fractions for 7018/669, 9292/8169 is 2/1821687.