GCF of 668/883, 320/725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/883, 320/725 i.e 4/640175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/883, 320/725.
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 668/883,320/725?
Given fractions are 668/883,320/725
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 668/883,320/725, numerators are 668,320
Denominators are 883,725
The GCF of 668,320 is 4 .
LCM of 883,725 is 640175.
The greatest common factor of 668/883,320/725 = [GCF of 668,320]/[LCM of 883,725]= 4/640175
Therefore, the GCF of 668/883,320/725 is 4/640175.
To find the highest common factor of 668,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 668,320 is 4.
Lets's calculate GCF of 668,320
| 2 | 668, 320 |
| 2 | 334, 160 |
| 167, 80 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 668,320 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 668,320 . The biggest common factor number is the GCF number.
So the greatest common factor 668,320 is 4.
Lets's calculate LCM of 883,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 640175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/640175
Therefore, the GCF of Fractions 668/883,320/725 is 4/640175
Least Common Multiple of 883,725 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 883,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,725) x common factors =1 x 1 = 1
LCM(883,725) = ( 883 × 725 ) / 1
LCM(883,725) = 640175 / 1
LCM(883,725) = 640175
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FAQs on GCF of Fractions of 668/883, 320/725
1. What is the HCF of 668,320?
The HCF of 668,320 is 4
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 668/883, 320/725?
Answer: GCF of Numerators as per given numbers 668/883, 320/725 is
GCF of Numerators i.e. for 668,320 is 4
LCM of denominators i.e. for 883,725 is 640175.
Thus, GCF of Fractions is 4/640175.Finally, GCF of Fractions for 668/883, 320/725 is 4/640175.