GCF of 6755/105, 1308/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6755/105, 1308/880 i.e 1/18480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6755/105, 1308/880.
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 6755/105,1308/880?
Given fractions are 6755/105,1308/880
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 6755/105,1308/880, numerators are 6755,1308
Denominators are 105,880
The GCF of 6755,1308 is 1 .
LCM of 105,880 is 18480.
The greatest common factor of 6755/105,1308/880 = [GCF of 6755,1308]/[LCM of 105,880]= 1/18480
Therefore, the GCF of 6755/105,1308/880 is 1/18480.
To find the highest common factor of 6755,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 6755,1308 is 1.
Lets's calculate GCF of 6755,1308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6755,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 6755
:1,5,7,35,193,965,1351,6755
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 6755,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 6755,1308 is 1.
Lets's calculate LCM of 105,880
| 5 | 105, 880 |
| 21, 176 |
∴ So the LCM of the given numbers is 5 x 21 x 176 = 18480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18480
Therefore, the GCF of Fractions 6755/105,1308/880 is 1/18480
Least Common Multiple of 105,880 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 105,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,880) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,880) x common factors =5 x 1 = 5
LCM(105,880) = ( 105 × 880 ) / 5
LCM(105,880) = 92400 / 5
LCM(105,880) = 18480
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FAQs on GCF of Fractions of 6755/105, 1308/880
1. What is the HCF of 6755,1308?
The HCF of 6755,1308 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 6755/105, 1308/880?
Answer: GCF of Numerators as per given numbers 6755/105, 1308/880 is
GCF of Numerators i.e. for 6755,1308 is 1
LCM of denominators i.e. for 105,880 is 18480.
Thus, GCF of Fractions is 1/18480.Finally, GCF of Fractions for 6755/105, 1308/880 is 1/18480.