GCF of 760/102, 930/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/102, 930/287 i.e 10/29274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/102, 930/287.
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 760/102,930/287?
Given fractions are 760/102,930/287
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 760/102,930/287, numerators are 760,930
Denominators are 102,287
The GCF of 760,930 is 10 .
LCM of 102,287 is 29274.
The greatest common factor of 760/102,930/287 = [GCF of 760,930]/[LCM of 102,287]= 10/29274
Therefore, the GCF of 760/102,930/287 is 10/29274.
To find the highest common factor of 760,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 760,930 is 10.
Lets's calculate GCF of 760,930
| 2 | 760, 930 |
| 5 | 380, 465 |
| 76, 93 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 760,930 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
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 760,930 . The biggest common factor number is the GCF number.
So the greatest common factor 760,930 is 10.
Lets's calculate LCM of 102,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 29274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/29274
Therefore, the GCF of Fractions 760/102,930/287 is 10/29274
Least Common Multiple of 102,287 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 102,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,287) x common factors =1 x 1 = 1
LCM(102,287) = ( 102 × 287 ) / 1
LCM(102,287) = 29274 / 1
LCM(102,287) = 29274
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FAQs on GCF of Fractions of 760/102, 930/287
1. What is the HCF of 760,930?
The HCF of 760,930 is 10
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 760/102, 930/287?
Answer: GCF of Numerators as per given numbers 760/102, 930/287 is
GCF of Numerators i.e. for 760,930 is 10
LCM of denominators i.e. for 102,287 is 29274.
Thus, GCF of Fractions is 10/29274.Finally, GCF of Fractions for 760/102, 930/287 is 10/29274.