GCF of 938/869, 840/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 938/869, 840/538 i.e 14/467522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/869, 840/538.
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 938/869,840/538?
Given fractions are 938/869,840/538
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 938/869,840/538, numerators are 938,840
Denominators are 869,538
The GCF of 938,840 is 14 .
LCM of 869,538 is 467522.
The greatest common factor of 938/869,840/538 = [GCF of 938,840]/[LCM of 869,538]= 14/467522
Therefore, the GCF of 938/869,840/538 is 14/467522.
To find the highest common factor of 938,840, 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 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 938,840 is 14.
Lets's calculate GCF of 938,840
| 2 | 938, 840 |
| 7 | 469, 420 |
| 67, 60 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 938,840 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 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 938,840 . The biggest common factor number is the GCF number.
So the greatest common factor 938,840 is 14.
Lets's calculate LCM of 869,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 467522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/467522
Therefore, the GCF of Fractions 938/869,840/538 is 14/467522
Least Common Multiple of 869,538 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 869,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,538) x common factors =1 x 1 = 1
LCM(869,538) = ( 869 × 538 ) / 1
LCM(869,538) = 467522 / 1
LCM(869,538) = 467522
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FAQs on GCF of Fractions of 938/869, 840/538
1. What is the HCF of 938,840?
The HCF of 938,840 is 14
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 938/869, 840/538?
Answer: GCF of Numerators as per given numbers 938/869, 840/538 is
GCF of Numerators i.e. for 938,840 is 14
LCM of denominators i.e. for 869,538 is 467522.
Thus, GCF of Fractions is 14/467522.Finally, GCF of Fractions for 938/869, 840/538 is 14/467522.