GCF of 775/240, 930/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 775/240, 930/724 i.e 155/43440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/240, 930/724.
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 775/240,930/724?
Given fractions are 775/240,930/724
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 775/240,930/724, numerators are 775,930
Denominators are 240,724
The GCF of 775,930 is 155 .
LCM of 240,724 is 43440.
The greatest common factor of 775/240,930/724 = [GCF of 775,930]/[LCM of 240,724]= 155/43440
Therefore, the GCF of 775/240,930/724 is 155/43440.
To find the highest common factor of 775,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 775 are 1, 5, 25, 31, 155, 775
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 775,930 is 155.
Lets's calculate GCF of 775,930
| 5 | 775, 930 |
| 31 | 155, 186 |
| 5, 6 |
∴ So the GCF of the given numbers is 5 x 31 = 155
Greatest Common Factor of 775,930 By Matching Biggest Common Factor Method
Now, list down the factors of 775
:1,5,25,31,155,775
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 775,930 . The biggest common factor number is the GCF number.
So the greatest common factor 775,930 is 155.
Lets's calculate LCM of 240,724
| 2 | 240, 724 |
| 2 | 120, 362 |
| 60, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 60 x 181 = 43440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 155/43440
Therefore, the GCF of Fractions 775/240,930/724 is 155/43440
Least Common Multiple of 240,724 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 240,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(240,724) x common factors =4 x 1 = 4
LCM(240,724) = ( 240 × 724 ) / 4
LCM(240,724) = 173760 / 4
LCM(240,724) = 43440
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FAQs on GCF of Fractions of 775/240, 930/724
1. What is the HCF of 775,930?
The HCF of 775,930 is 155
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 775/240, 930/724?
Answer: GCF of Numerators as per given numbers 775/240, 930/724 is
GCF of Numerators i.e. for 775,930 is 155
LCM of denominators i.e. for 240,724 is 43440.
Thus, GCF of Fractions is 155/43440.Finally, GCF of Fractions for 775/240, 930/724 is 155/43440.