GCF of 8572/208, 8420/2501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8572/208, 8420/2501 i.e 4/520208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8572/208, 8420/2501.
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 8572/208,8420/2501?
Given fractions are 8572/208,8420/2501
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 8572/208,8420/2501, numerators are 8572,8420
Denominators are 208,2501
The GCF of 8572,8420 is 4 .
LCM of 208,2501 is 520208.
The greatest common factor of 8572/208,8420/2501 = [GCF of 8572,8420]/[LCM of 208,2501]= 4/520208
Therefore, the GCF of 8572/208,8420/2501 is 4/520208.
To find the highest common factor of 8572,8420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8572 are 1, 2, 4, 2143, 4286, 8572
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The HCF of 8572,8420 is 4.
Lets's calculate GCF of 8572,8420
| 2 | 8572, 8420 |
| 2 | 4286, 4210 |
| 2143, 2105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8572,8420 By Matching Biggest Common Factor Method
Now, list down the factors of 8572
:1,2,4,2143,4286,8572
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 8572,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 8572,8420 is 4.
Lets's calculate LCM of 208,2501
Given numbers has no common factors except 1. So, there LCM is their product i.e 520208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/520208
Therefore, the GCF of Fractions 8572/208,8420/2501 is 4/520208
Least Common Multiple of 208,2501 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 208,2501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,2501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,2501) x common factors =1 x 1 = 1
LCM(208,2501) = ( 208 × 2501 ) / 1
LCM(208,2501) = 520208 / 1
LCM(208,2501) = 520208
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FAQs on GCF of Fractions of 8572/208, 8420/2501
1. What is the HCF of 8572,8420?
The HCF of 8572,8420 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 8572/208, 8420/2501?
Answer: GCF of Numerators as per given numbers 8572/208, 8420/2501 is
GCF of Numerators i.e. for 8572,8420 is 4
LCM of denominators i.e. for 208,2501 is 520208.
Thus, GCF of Fractions is 4/520208.Finally, GCF of Fractions for 8572/208, 8420/2501 is 4/520208.