GCF of 9835/224, 8228/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9835/224, 8228/680 i.e 1/19040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9835/224, 8228/680.
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 9835/224,8228/680?
Given fractions are 9835/224,8228/680
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 9835/224,8228/680, numerators are 9835,8228
Denominators are 224,680
The GCF of 9835,8228 is 1 .
LCM of 224,680 is 19040.
The greatest common factor of 9835/224,8228/680 = [GCF of 9835,8228]/[LCM of 224,680]= 1/19040
Therefore, the GCF of 9835/224,8228/680 is 1/19040.
To find the highest common factor of 9835,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 9835,8228 is 1.
Lets's calculate GCF of 9835,8228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9835,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 9835
:1,5,7,35,281,1405,1967,9835
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 9835,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 9835,8228 is 1.
Lets's calculate LCM of 224,680
| 2 | 224, 680 |
| 2 | 112, 340 |
| 2 | 56, 170 |
| 28, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 85 = 19040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19040
Therefore, the GCF of Fractions 9835/224,8228/680 is 1/19040
Least Common Multiple of 224,680 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 224,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,680) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(224,680) x common factors =8 x 1 = 8
LCM(224,680) = ( 224 × 680 ) / 8
LCM(224,680) = 152320 / 8
LCM(224,680) = 19040
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FAQs on GCF of Fractions of 9835/224, 8228/680
1. What is the HCF of 9835,8228?
The HCF of 9835,8228 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 9835/224, 8228/680?
Answer: GCF of Numerators as per given numbers 9835/224, 8228/680 is
GCF of Numerators i.e. for 9835,8228 is 1
LCM of denominators i.e. for 224,680 is 19040.
Thus, GCF of Fractions is 1/19040.Finally, GCF of Fractions for 9835/224, 8228/680 is 1/19040.