GCF of 720/256, 8420/6919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/256, 8420/6919 i.e 20/1771264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/256, 8420/6919.
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 720/256,8420/6919?
Given fractions are 720/256,8420/6919
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 720/256,8420/6919, numerators are 720,8420
Denominators are 256,6919
The GCF of 720,8420 is 20 .
LCM of 256,6919 is 1771264.
The greatest common factor of 720/256,8420/6919 = [GCF of 720,8420]/[LCM of 256,6919]= 20/1771264
Therefore, the GCF of 720/256,8420/6919 is 20/1771264.
To find the highest common factor of 720,8420, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The HCF of 720,8420 is 20.
Lets's calculate GCF of 720,8420
| 2 | 720, 8420 |
| 2 | 360, 4210 |
| 5 | 180, 2105 |
| 36, 421 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 720,8420 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 8420
:1,2,4,5,10,20,421,842,1684,2105,4210,8420
Greatest Common Factor
We found the factors 720,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 720,8420 is 20.
Lets's calculate LCM of 256,6919
Given numbers has no common factors except 1. So, there LCM is their product i.e 1771264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1771264
Therefore, the GCF of Fractions 720/256,8420/6919 is 20/1771264
Least Common Multiple of 256,6919 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 256,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,6919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,6919) x common factors =1 x 1 = 1
LCM(256,6919) = ( 256 × 6919 ) / 1
LCM(256,6919) = 1771264 / 1
LCM(256,6919) = 1771264
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FAQs on GCF of Fractions of 720/256, 8420/6919
1. What is the HCF of 720,8420?
The HCF of 720,8420 is 20
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 720/256, 8420/6919?
Answer: GCF of Numerators as per given numbers 720/256, 8420/6919 is
GCF of Numerators i.e. for 720,8420 is 20
LCM of denominators i.e. for 256,6919 is 1771264.
Thus, GCF of Fractions is 20/1771264.Finally, GCF of Fractions for 720/256, 8420/6919 is 20/1771264.