GCF of 770/88, 938/4040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/88, 938/4040 i.e 14/44440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/88, 938/4040.
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 770/88,938/4040?
Given fractions are 770/88,938/4040
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 770/88,938/4040, numerators are 770,938
Denominators are 88,4040
The GCF of 770,938 is 14 .
LCM of 88,4040 is 44440.
The greatest common factor of 770/88,938/4040 = [GCF of 770,938]/[LCM of 88,4040]= 14/44440
Therefore, the GCF of 770/88,938/4040 is 14/44440.
To find the highest common factor of 770,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 770,938 is 14.
Lets's calculate GCF of 770,938
| 2 | 770, 938 |
| 7 | 385, 469 |
| 55, 67 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 770,938 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 770,938 . The biggest common factor number is the GCF number.
So the greatest common factor 770,938 is 14.
Lets's calculate LCM of 88,4040
| 2 | 88, 4040 |
| 2 | 44, 2020 |
| 2 | 22, 1010 |
| 11, 505 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 505 = 44440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/44440
Therefore, the GCF of Fractions 770/88,938/4040 is 14/44440
Least Common Multiple of 88,4040 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 88,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,4040) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(88,4040) x common factors =8 x 1 = 8
LCM(88,4040) = ( 88 × 4040 ) / 8
LCM(88,4040) = 355520 / 8
LCM(88,4040) = 44440
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FAQs on GCF of Fractions of 770/88, 938/4040
1. What is the HCF of 770,938?
The HCF of 770,938 is 14
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 770/88, 938/4040?
Answer: GCF of Numerators as per given numbers 770/88, 938/4040 is
GCF of Numerators i.e. for 770,938 is 14
LCM of denominators i.e. for 88,4040 is 44440.
Thus, GCF of Fractions is 14/44440.Finally, GCF of Fractions for 770/88, 938/4040 is 14/44440.