GCF of 948/220, 8174/685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/220, 8174/685 i.e 2/30140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/220, 8174/685.
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 948/220,8174/685?
Given fractions are 948/220,8174/685
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 948/220,8174/685, numerators are 948,8174
Denominators are 220,685
The GCF of 948,8174 is 2 .
LCM of 220,685 is 30140.
The greatest common factor of 948/220,8174/685 = [GCF of 948,8174]/[LCM of 220,685]= 2/30140
Therefore, the GCF of 948/220,8174/685 is 2/30140.
To find the highest common factor of 948,8174, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The HCF of 948,8174 is 2.
Lets's calculate GCF of 948,8174
| 2 | 948, 8174 |
| 474, 4087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 948,8174 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Greatest Common Factor
We found the factors 948,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 948,8174 is 2.
Lets's calculate LCM of 220,685
| 5 | 220, 685 |
| 44, 137 |
∴ So the LCM of the given numbers is 5 x 44 x 137 = 30140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30140
Therefore, the GCF of Fractions 948/220,8174/685 is 2/30140
Least Common Multiple of 220,685 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 220,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,685) x common factors =5 x 1 = 5
LCM(220,685) = ( 220 × 685 ) / 5
LCM(220,685) = 150700 / 5
LCM(220,685) = 30140
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FAQs on GCF of Fractions of 948/220, 8174/685
1. What is the HCF of 948,8174?
The HCF of 948,8174 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 948/220, 8174/685?
Answer: GCF of Numerators as per given numbers 948/220, 8174/685 is
GCF of Numerators i.e. for 948,8174 is 2
LCM of denominators i.e. for 220,685 is 30140.
Thus, GCF of Fractions is 2/30140.Finally, GCF of Fractions for 948/220, 8174/685 is 2/30140.