GCF of 604/77, 960/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 604/77, 960/830 i.e 4/63910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/77, 960/830.
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 604/77,960/830?
Given fractions are 604/77,960/830
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 604/77,960/830, numerators are 604,960
Denominators are 77,830
The GCF of 604,960 is 4 .
LCM of 77,830 is 63910.
The greatest common factor of 604/77,960/830 = [GCF of 604,960]/[LCM of 77,830]= 4/63910
Therefore, the GCF of 604/77,960/830 is 4/63910.
To find the highest common factor of 604,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 604 are 1, 2, 4, 151, 302, 604
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 604,960 is 4.
Lets's calculate GCF of 604,960
| 2 | 604, 960 |
| 2 | 302, 480 |
| 151, 240 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 604,960 By Matching Biggest Common Factor Method
Now, list down the factors of 604
:1,2,4,151,302,604
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 604,960 . The biggest common factor number is the GCF number.
So the greatest common factor 604,960 is 4.
Lets's calculate LCM of 77,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 63910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/63910
Therefore, the GCF of Fractions 604/77,960/830 is 4/63910
Least Common Multiple of 77,830 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 77,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,830) x common factors =1 x 1 = 1
LCM(77,830) = ( 77 × 830 ) / 1
LCM(77,830) = 63910 / 1
LCM(77,830) = 63910
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FAQs on GCF of Fractions of 604/77, 960/830
1. What is the HCF of 604,960?
The HCF of 604,960 is 4
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 604/77, 960/830?
Answer: GCF of Numerators as per given numbers 604/77, 960/830 is
GCF of Numerators i.e. for 604,960 is 4
LCM of denominators i.e. for 77,830 is 63910.
Thus, GCF of Fractions is 4/63910.Finally, GCF of Fractions for 604/77, 960/830 is 4/63910.