GCF of 25/427, 70/934, 610/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/427, 70/934, 610/237 i.e 5/94519866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/427, 70/934, 610/237.
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 25/427,70/934,610/237?
Given fractions are 25/427,70/934,610/237
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 25/427,70/934,610/237, numerators are 25,70,610
Denominators are 427,934,237
The GCF of 25,70,610 is 5 .
LCM of 427,934,237 is 94519866.
The greatest common factor of 25/427,70/934,610/237 = [GCF of 25,70,610]/[LCM of 427,934,237]= 5/94519866
Therefore, the GCF of 25/427,70/934,610/237 is 5/94519866.
To find the highest common factor of 25,70,610, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The HCF of 25,70,610 is 5.
Lets's calculate GCF of 25,70,610
| 5 | 25, 70, 610 |
| 5, 14, 122 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 25,70,610 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 25,70,610 . The biggest common factor number is the GCF number.
So the greatest common factor 25,70,610 is 5.
Lets's calculate LCM of 427,934,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 94519866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/94519866
Therefore, the GCF of Fractions 25/427,70/934,610/237 is 5/94519866
Least Common Multiple of 427,934,237 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 427,934,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,934,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,934,237) x common factors =1 x 1 = 1
LCM(427,934,237) = ( 427 × 934 × 237 ) / 1
LCM(427,934,237) = 94519866 / 1
LCM(427,934,237) = 94519866
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FAQs on GCF of Fractions of 25/427, 70/934, 610/237
1. What is the HCF of 25,70,610?
The HCF of 25,70,610 is 5
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 25/427, 70/934, 610/237?
Answer: GCF of Numerators as per given numbers 25/427, 70/934, 610/237 is
GCF of Numerators i.e. for 25,70,610 is 5
LCM of denominators i.e. for 427,934,237 is 94519866.
Thus, GCF of Fractions is 5/94519866.Finally, GCF of Fractions for 25/427, 70/934, 610/237 is 5/94519866.