GCF of 1275/925, 8297/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1275/925, 8297/674 i.e 1/623450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1275/925, 8297/674.
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 1275/925,8297/674?
Given fractions are 1275/925,8297/674
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 1275/925,8297/674, numerators are 1275,8297
Denominators are 925,674
The GCF of 1275,8297 is 1 .
LCM of 925,674 is 623450.
The greatest common factor of 1275/925,8297/674 = [GCF of 1275,8297]/[LCM of 925,674]= 1/623450
Therefore, the GCF of 1275/925,8297/674 is 1/623450.
To find the highest common factor of 1275,8297, we have to find the factors of both numbers and list the highest common factor.
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The factors of 8297 are 1, 8297
The HCF of 1275,8297 is 1.
Lets's calculate GCF of 1275,8297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1275,8297 By Matching Biggest Common Factor Method
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Now, list down the factors of 8297
:1,8297
Greatest Common Factor
We found the factors 1275,8297 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,8297 is 1.
Lets's calculate LCM of 925,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 623450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623450
Therefore, the GCF of Fractions 1275/925,8297/674 is 1/623450
Least Common Multiple of 925,674 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 925,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,674) x common factors =1 x 1 = 1
LCM(925,674) = ( 925 × 674 ) / 1
LCM(925,674) = 623450 / 1
LCM(925,674) = 623450
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FAQs on GCF of Fractions of 1275/925, 8297/674
1. What is the HCF of 1275,8297?
The HCF of 1275,8297 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 1275/925, 8297/674?
Answer: GCF of Numerators as per given numbers 1275/925, 8297/674 is
GCF of Numerators i.e. for 1275,8297 is 1
LCM of denominators i.e. for 925,674 is 623450.
Thus, GCF of Fractions is 1/623450.Finally, GCF of Fractions for 1275/925, 8297/674 is 1/623450.