GCF of 938/237, 8107/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 938/237, 8107/700 i.e 67/165900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/237, 8107/700.
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 938/237,8107/700?
Given fractions are 938/237,8107/700
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 938/237,8107/700, numerators are 938,8107
Denominators are 237,700
The GCF of 938,8107 is 67 .
LCM of 237,700 is 165900.
The greatest common factor of 938/237,8107/700 = [GCF of 938,8107]/[LCM of 237,700]= 67/165900
Therefore, the GCF of 938/237,8107/700 is 67/165900.
To find the highest common factor of 938,8107, 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 8107 are 1, 11, 67, 121, 737, 8107
The HCF of 938,8107 is 67.
Lets's calculate GCF of 938,8107
| 67 | 938, 8107 |
| 14, 121 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 938,8107 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 8107
:1,11,67,121,737,8107
Greatest Common Factor
We found the factors 938,8107 . The biggest common factor number is the GCF number.
So the greatest common factor 938,8107 is 67.
Lets's calculate LCM of 237,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 165900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/165900
Therefore, the GCF of Fractions 938/237,8107/700 is 67/165900
Least Common Multiple of 237,700 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 237,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,700) x common factors =1 x 1 = 1
LCM(237,700) = ( 237 × 700 ) / 1
LCM(237,700) = 165900 / 1
LCM(237,700) = 165900
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FAQs on GCF of Fractions of 938/237, 8107/700
1. What is the HCF of 938,8107?
The HCF of 938,8107 is 67
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 938/237, 8107/700?
Answer: GCF of Numerators as per given numbers 938/237, 8107/700 is
GCF of Numerators i.e. for 938,8107 is 67
LCM of denominators i.e. for 237,700 is 165900.
Thus, GCF of Fractions is 67/165900.Finally, GCF of Fractions for 938/237, 8107/700 is 67/165900.