GCF of 7093/341, 6800/7359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7093/341, 6800/7359 i.e 1/228129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7093/341, 6800/7359.
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 7093/341,6800/7359?
Given fractions are 7093/341,6800/7359
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 7093/341,6800/7359, numerators are 7093,6800
Denominators are 341,7359
The GCF of 7093,6800 is 1 .
LCM of 341,7359 is 228129.
The greatest common factor of 7093/341,6800/7359 = [GCF of 7093,6800]/[LCM of 341,7359]= 1/228129
Therefore, the GCF of 7093/341,6800/7359 is 1/228129.
To find the highest common factor of 7093,6800, we have to find the factors of both numbers and list the highest common factor.
The factors of 7093 are 1, 41, 173, 7093
The factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 7093,6800 is 1.
Lets's calculate GCF of 7093,6800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7093,6800 By Matching Biggest Common Factor Method
Now, list down the factors of 7093
:1,41,173,7093
Now, list down the factors of 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 7093,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 7093,6800 is 1.
Lets's calculate LCM of 341,7359
| 11 | 341, 7359 |
| 31, 669 |
∴ So the LCM of the given numbers is 11 x 31 x 669 = 228129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228129
Therefore, the GCF of Fractions 7093/341,6800/7359 is 1/228129
Least Common Multiple of 341,7359 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 341,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,7359) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(341,7359) x common factors =11 x 1 = 11
LCM(341,7359) = ( 341 × 7359 ) / 11
LCM(341,7359) = 2509419 / 11
LCM(341,7359) = 228129
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FAQs on GCF of Fractions of 7093/341, 6800/7359
1. What is the HCF of 7093,6800?
The HCF of 7093,6800 is 1
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 7093/341, 6800/7359?
Answer: GCF of Numerators as per given numbers 7093/341, 6800/7359 is
GCF of Numerators i.e. for 7093,6800 is 1
LCM of denominators i.e. for 341,7359 is 228129.
Thus, GCF of Fractions is 1/228129.Finally, GCF of Fractions for 7093/341, 6800/7359 is 1/228129.