GCF of 934/224, 5980/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/224, 5980/465 i.e 2/104160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/224, 5980/465.
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 934/224,5980/465?
Given fractions are 934/224,5980/465
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 934/224,5980/465, numerators are 934,5980
Denominators are 224,465
The GCF of 934,5980 is 2 .
LCM of 224,465 is 104160.
The greatest common factor of 934/224,5980/465 = [GCF of 934,5980]/[LCM of 224,465]= 2/104160
Therefore, the GCF of 934/224,5980/465 is 2/104160.
To find the highest common factor of 934,5980, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The HCF of 934,5980 is 2.
Lets's calculate GCF of 934,5980
| 2 | 934, 5980 |
| 467, 2990 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,5980 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Greatest Common Factor
We found the factors 934,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 934,5980 is 2.
Lets's calculate LCM of 224,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 104160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104160
Therefore, the GCF of Fractions 934/224,5980/465 is 2/104160
Least Common Multiple of 224,465 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 224,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,465) x common factors =1 x 1 = 1
LCM(224,465) = ( 224 × 465 ) / 1
LCM(224,465) = 104160 / 1
LCM(224,465) = 104160
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FAQs on GCF of Fractions of 934/224, 5980/465
1. What is the HCF of 934,5980?
The HCF of 934,5980 is 2
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 934/224, 5980/465?
Answer: GCF of Numerators as per given numbers 934/224, 5980/465 is
GCF of Numerators i.e. for 934,5980 is 2
LCM of denominators i.e. for 224,465 is 104160.
Thus, GCF of Fractions is 2/104160.Finally, GCF of Fractions for 934/224, 5980/465 is 2/104160.