GCF of 938/78, 230/5420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 938/78, 230/5420 i.e 2/211380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/78, 230/5420.
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 938/78,230/5420?
Given fractions are 938/78,230/5420
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 938/78,230/5420, numerators are 938,230
Denominators are 78,5420
The GCF of 938,230 is 2 .
LCM of 78,5420 is 211380.
The greatest common factor of 938/78,230/5420 = [GCF of 938,230]/[LCM of 78,5420]= 2/211380
Therefore, the GCF of 938/78,230/5420 is 2/211380.
To find the highest common factor of 938,230, we have to find the factors of both numbers and list the highest common factor.
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The HCF of 938,230 is 2.
Lets's calculate GCF of 938,230
| 2 | 938, 230 |
| 469, 115 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 938,230 By Matching Biggest Common Factor Method
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 938,230 . The biggest common factor number is the GCF number.
So the greatest common factor 938,230 is 2.
Lets's calculate LCM of 78,5420
| 2 | 78, 5420 |
| 39, 2710 |
∴ So the LCM of the given numbers is 2 x 39 x 2710 = 211380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/211380
Therefore, the GCF of Fractions 938/78,230/5420 is 2/211380
Least Common Multiple of 78,5420 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 78,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,5420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,5420) x common factors =2 x 1 = 2
LCM(78,5420) = ( 78 × 5420 ) / 2
LCM(78,5420) = 422760 / 2
LCM(78,5420) = 211380
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FAQs on GCF of Fractions of 938/78, 230/5420
1. What is the HCF of 938,230?
The HCF of 938,230 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 938/78, 230/5420?
Answer: GCF of Numerators as per given numbers 938/78, 230/5420 is
GCF of Numerators i.e. for 938,230 is 2
LCM of denominators i.e. for 78,5420 is 211380.
Thus, GCF of Fractions is 2/211380.Finally, GCF of Fractions for 938/78, 230/5420 is 2/211380.