GCF of 795/274, 106/645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 795/274, 106/645 i.e 53/176730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/274, 106/645.
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 795/274,106/645?
Given fractions are 795/274,106/645
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 795/274,106/645, numerators are 795,106
Denominators are 274,645
The GCF of 795,106 is 53 .
LCM of 274,645 is 176730.
The greatest common factor of 795/274,106/645 = [GCF of 795,106]/[LCM of 274,645]= 53/176730
Therefore, the GCF of 795/274,106/645 is 53/176730.
To find the highest common factor of 795,106, 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 106 are 1, 2, 53, 106
The HCF of 795,106 is 53.
Lets's calculate GCF of 795,106
| 53 | 795, 106 |
| 15, 2 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 795,106 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 106
:1,2,53,106
Greatest Common Factor
We found the factors 795,106 . The biggest common factor number is the GCF number.
So the greatest common factor 795,106 is 53.
Lets's calculate LCM of 274,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 176730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/176730
Therefore, the GCF of Fractions 795/274,106/645 is 53/176730
Least Common Multiple of 274,645 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 274,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,645) x common factors =1 x 1 = 1
LCM(274,645) = ( 274 × 645 ) / 1
LCM(274,645) = 176730 / 1
LCM(274,645) = 176730
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FAQs on GCF of Fractions of 795/274, 106/645
1. What is the HCF of 795,106?
The HCF of 795,106 is 53
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 795/274, 106/645?
Answer: GCF of Numerators as per given numbers 795/274, 106/645 is
GCF of Numerators i.e. for 795,106 is 53
LCM of denominators i.e. for 274,645 is 176730.
Thus, GCF of Fractions is 53/176730.Finally, GCF of Fractions for 795/274, 106/645 is 53/176730.