GCF of 7799/675, 8075/5670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7799/675, 8075/5670 i.e 1/28350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7799/675, 8075/5670.
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 7799/675,8075/5670?
Given fractions are 7799/675,8075/5670
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 7799/675,8075/5670, numerators are 7799,8075
Denominators are 675,5670
The GCF of 7799,8075 is 1 .
LCM of 675,5670 is 28350.
The greatest common factor of 7799/675,8075/5670 = [GCF of 7799,8075]/[LCM of 675,5670]= 1/28350
Therefore, the GCF of 7799/675,8075/5670 is 1/28350.
To find the highest common factor of 7799,8075, we have to find the factors of both numbers and list the highest common factor.
The factors of 7799 are 1, 11, 709, 7799
The factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
The HCF of 7799,8075 is 1.
Lets's calculate GCF of 7799,8075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7799,8075 By Matching Biggest Common Factor Method
Now, list down the factors of 7799
:1,11,709,7799
Now, list down the factors of 8075
:1,5,17,19,25,85,95,323,425,475,1615,8075
Greatest Common Factor
We found the factors 7799,8075 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,8075 is 1.
Lets's calculate LCM of 675,5670
| 3 | 675, 5670 |
| 3 | 225, 1890 |
| 3 | 75, 630 |
| 5 | 25, 210 |
| 5, 42 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 5 x 42 = 28350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28350
Therefore, the GCF of Fractions 7799/675,8075/5670 is 1/28350
Least Common Multiple of 675,5670 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 675,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,5670) = 135
common factors(in case of two or more numbers have common factors) = 1
GCF(675,5670) x common factors =135 x 1 = 135
LCM(675,5670) = ( 675 × 5670 ) / 135
LCM(675,5670) = 3827250 / 135
LCM(675,5670) = 28350
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FAQs on GCF of Fractions of 7799/675, 8075/5670
1. What is the HCF of 7799,8075?
The HCF of 7799,8075 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 7799/675, 8075/5670?
Answer: GCF of Numerators as per given numbers 7799/675, 8075/5670 is
GCF of Numerators i.e. for 7799,8075 is 1
LCM of denominators i.e. for 675,5670 is 28350.
Thus, GCF of Fractions is 1/28350.Finally, GCF of Fractions for 7799/675, 8075/5670 is 1/28350.