GCF of 802/725, 668/275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 802/725, 668/275 i.e 2/7975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/725, 668/275.
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 802/725,668/275?
Given fractions are 802/725,668/275
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 802/725,668/275, numerators are 802,668
Denominators are 725,275
The GCF of 802,668 is 2 .
LCM of 725,275 is 7975.
The greatest common factor of 802/725,668/275 = [GCF of 802,668]/[LCM of 725,275]= 2/7975
Therefore, the GCF of 802/725,668/275 is 2/7975.
To find the highest common factor of 802,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 802 are 1, 2, 401, 802
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 802,668 is 2.
Lets's calculate GCF of 802,668
| 2 | 802, 668 |
| 401, 334 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 802,668 By Matching Biggest Common Factor Method
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 802,668 . The biggest common factor number is the GCF number.
So the greatest common factor 802,668 is 2.
Lets's calculate LCM of 725,275
| 5 | 725, 275 |
| 5 | 145, 55 |
| 29, 11 |
∴ So the LCM of the given numbers is 5 x 5 x 29 x 11 = 7975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7975
Therefore, the GCF of Fractions 802/725,668/275 is 2/7975
Least Common Multiple of 725,275 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 725,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,275) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(725,275) x common factors =25 x 1 = 25
LCM(725,275) = ( 725 × 275 ) / 25
LCM(725,275) = 199375 / 25
LCM(725,275) = 7975
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FAQs on GCF of Fractions of 802/725, 668/275
1. What is the HCF of 802,668?
The HCF of 802,668 is 2
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 802/725, 668/275?
Answer: GCF of Numerators as per given numbers 802/725, 668/275 is
GCF of Numerators i.e. for 802,668 is 2
LCM of denominators i.e. for 725,275 is 7975.
Thus, GCF of Fractions is 2/7975.Finally, GCF of Fractions for 802/725, 668/275 is 2/7975.