GCF of 8420/224, 5317/8978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8420/224, 5317/8978 i.e 1/1005536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8420/224, 5317/8978.
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 8420/224,5317/8978?
Given fractions are 8420/224,5317/8978
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 8420/224,5317/8978, numerators are 8420,5317
Denominators are 224,8978
The GCF of 8420,5317 is 1 .
LCM of 224,8978 is 1005536.
The greatest common factor of 8420/224,5317/8978 = [GCF of 8420,5317]/[LCM of 224,8978]= 1/1005536
Therefore, the GCF of 8420/224,5317/8978 is 1/1005536.
To find the highest common factor of 8420,5317, we have to find the factors of both numbers and list the highest common factor.
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The factors of 5317 are 1, 13, 409, 5317
The HCF of 8420,5317 is 1.
Lets's calculate GCF of 8420,5317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8420,5317 By Matching Biggest Common Factor Method
Now, list down the factors of 8420
:1,2,4,5,10,20,421,842,1684,2105,4210,8420
Now, list down the factors of 5317
:1,13,409,5317
Greatest Common Factor
We found the factors 8420,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 8420,5317 is 1.
Lets's calculate LCM of 224,8978
| 2 | 224, 8978 |
| 112, 4489 |
∴ So the LCM of the given numbers is 2 x 112 x 4489 = 1005536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005536
Therefore, the GCF of Fractions 8420/224,5317/8978 is 1/1005536
Least Common Multiple of 224,8978 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 224,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,8978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,8978) x common factors =2 x 1 = 2
LCM(224,8978) = ( 224 × 8978 ) / 2
LCM(224,8978) = 2011072 / 2
LCM(224,8978) = 1005536
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FAQs on GCF of Fractions of 8420/224, 5317/8978
1. What is the HCF of 8420,5317?
The HCF of 8420,5317 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 8420/224, 5317/8978?
Answer: GCF of Numerators as per given numbers 8420/224, 5317/8978 is
GCF of Numerators i.e. for 8420,5317 is 1
LCM of denominators i.e. for 224,8978 is 1005536.
Thus, GCF of Fractions is 1/1005536.Finally, GCF of Fractions for 8420/224, 5317/8978 is 1/1005536.