GCF of 440/68, 770/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/68, 770/929 i.e 110/63172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/68, 770/929.
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 440/68,770/929?
Given fractions are 440/68,770/929
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 440/68,770/929, numerators are 440,770
Denominators are 68,929
The GCF of 440,770 is 110 .
LCM of 68,929 is 63172.
The greatest common factor of 440/68,770/929 = [GCF of 440,770]/[LCM of 68,929]= 110/63172
Therefore, the GCF of 440/68,770/929 is 110/63172.
To find the highest common factor of 440,770, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The HCF of 440,770 is 110.
Lets's calculate GCF of 440,770
| 2 | 440, 770 |
| 5 | 220, 385 |
| 11 | 44, 77 |
| 4, 7 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 440,770 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 440,770 . The biggest common factor number is the GCF number.
So the greatest common factor 440,770 is 110.
Lets's calculate LCM of 68,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 63172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/63172
Therefore, the GCF of Fractions 440/68,770/929 is 110/63172
Least Common Multiple of 68,929 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 68,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,929) x common factors =1 x 1 = 1
LCM(68,929) = ( 68 × 929 ) / 1
LCM(68,929) = 63172 / 1
LCM(68,929) = 63172
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FAQs on GCF of Fractions of 440/68, 770/929
1. What is the HCF of 440,770?
The HCF of 440,770 is 110
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 440/68, 770/929?
Answer: GCF of Numerators as per given numbers 440/68, 770/929 is
GCF of Numerators i.e. for 440,770 is 110
LCM of denominators i.e. for 68,929 is 63172.
Thus, GCF of Fractions is 110/63172.Finally, GCF of Fractions for 440/68, 770/929 is 110/63172.