GCF of 7670/788, 3870/1134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7670/788, 3870/1134 i.e 10/446796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7670/788, 3870/1134.
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 7670/788,3870/1134?
Given fractions are 7670/788,3870/1134
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 7670/788,3870/1134, numerators are 7670,3870
Denominators are 788,1134
The GCF of 7670,3870 is 10 .
LCM of 788,1134 is 446796.
The greatest common factor of 7670/788,3870/1134 = [GCF of 7670,3870]/[LCM of 788,1134]= 10/446796
Therefore, the GCF of 7670/788,3870/1134 is 10/446796.
To find the highest common factor of 7670,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 7670,3870 is 10.
Lets's calculate GCF of 7670,3870
| 2 | 7670, 3870 |
| 5 | 3835, 1935 |
| 767, 387 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7670,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 7670,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 7670,3870 is 10.
Lets's calculate LCM of 788,1134
| 2 | 788, 1134 |
| 394, 567 |
∴ So the LCM of the given numbers is 2 x 394 x 567 = 446796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/446796
Therefore, the GCF of Fractions 7670/788,3870/1134 is 10/446796
Least Common Multiple of 788,1134 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 788,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,1134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,1134) x common factors =2 x 1 = 2
LCM(788,1134) = ( 788 × 1134 ) / 2
LCM(788,1134) = 893592 / 2
LCM(788,1134) = 446796
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FAQs on GCF of Fractions of 7670/788, 3870/1134
1. What is the HCF of 7670,3870?
The HCF of 7670,3870 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 7670/788, 3870/1134?
Answer: GCF of Numerators as per given numbers 7670/788, 3870/1134 is
GCF of Numerators i.e. for 7670,3870 is 10
LCM of denominators i.e. for 788,1134 is 446796.
Thus, GCF of Fractions is 10/446796.Finally, GCF of Fractions for 7670/788, 3870/1134 is 10/446796.