GCF of 7955/930, 7733/9474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7955/930, 7733/9474 i.e 37/1468470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7955/930, 7733/9474.
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 7955/930,7733/9474?
Given fractions are 7955/930,7733/9474
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 7955/930,7733/9474, numerators are 7955,7733
Denominators are 930,9474
The GCF of 7955,7733 is 37 .
LCM of 930,9474 is 1468470.
The greatest common factor of 7955/930,7733/9474 = [GCF of 7955,7733]/[LCM of 930,9474]= 37/1468470
Therefore, the GCF of 7955/930,7733/9474 is 37/1468470.
To find the highest common factor of 7955,7733, we have to find the factors of both numbers and list the highest common factor.
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The HCF of 7955,7733 is 37.
Lets's calculate GCF of 7955,7733
| 37 | 7955, 7733 |
| 215, 209 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7955,7733 By Matching Biggest Common Factor Method
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Greatest Common Factor
We found the factors 7955,7733 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,7733 is 37.
Lets's calculate LCM of 930,9474
| 2 | 930, 9474 |
| 3 | 465, 4737 |
| 155, 1579 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 1579 = 1468470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/1468470
Therefore, the GCF of Fractions 7955/930,7733/9474 is 37/1468470
Least Common Multiple of 930,9474 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 930,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,9474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,9474) x common factors =6 x 1 = 6
LCM(930,9474) = ( 930 × 9474 ) / 6
LCM(930,9474) = 8810820 / 6
LCM(930,9474) = 1468470
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FAQs on GCF of Fractions of 7955/930, 7733/9474
1. What is the HCF of 7955,7733?
The HCF of 7955,7733 is 37
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 7955/930, 7733/9474?
Answer: GCF of Numerators as per given numbers 7955/930, 7733/9474 is
GCF of Numerators i.e. for 7955,7733 is 37
LCM of denominators i.e. for 930,9474 is 1468470.
Thus, GCF of Fractions is 37/1468470.Finally, GCF of Fractions for 7955/930, 7733/9474 is 37/1468470.