GCF of 795/10, 882/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 795/10, 882/667 i.e 3/6670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/10, 882/667.
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 795/10,882/667?
Given fractions are 795/10,882/667
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 795/10,882/667, numerators are 795,882
Denominators are 10,667
The GCF of 795,882 is 3 .
LCM of 10,667 is 6670.
The greatest common factor of 795/10,882/667 = [GCF of 795,882]/[LCM of 10,667]= 3/6670
Therefore, the GCF of 795/10,882/667 is 3/6670.
To find the highest common factor of 795,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 795,882 is 3.
Lets's calculate GCF of 795,882
| 3 | 795, 882 |
| 265, 294 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 795,882 By Matching Biggest Common Factor Method
Now, list down the factors of 795
:1,3,5,15,53,159,265,795
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 795,882 . The biggest common factor number is the GCF number.
So the greatest common factor 795,882 is 3.
Lets's calculate LCM of 10,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 6670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6670
Therefore, the GCF of Fractions 795/10,882/667 is 3/6670
Least Common Multiple of 10,667 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 10,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,667) x common factors =1 x 1 = 1
LCM(10,667) = ( 10 × 667 ) / 1
LCM(10,667) = 6670 / 1
LCM(10,667) = 6670
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FAQs on GCF of Fractions of 795/10, 882/667
1. What is the HCF of 795,882?
The HCF of 795,882 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 795/10, 882/667?
Answer: GCF of Numerators as per given numbers 795/10, 882/667 is
GCF of Numerators i.e. for 795,882 is 3
LCM of denominators i.e. for 10,667 is 6670.
Thus, GCF of Fractions is 3/6670.Finally, GCF of Fractions for 795/10, 882/667 is 3/6670.