GCF of 444/778, 8769/7126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/778, 8769/7126 i.e 111/2772014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/778, 8769/7126.
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 444/778,8769/7126?
Given fractions are 444/778,8769/7126
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 444/778,8769/7126, numerators are 444,8769
Denominators are 778,7126
The GCF of 444,8769 is 111 .
LCM of 778,7126 is 2772014.
The greatest common factor of 444/778,8769/7126 = [GCF of 444,8769]/[LCM of 778,7126]= 111/2772014
Therefore, the GCF of 444/778,8769/7126 is 111/2772014.
To find the highest common factor of 444,8769, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The HCF of 444,8769 is 111.
Lets's calculate GCF of 444,8769
| 3 | 444, 8769 |
| 37 | 148, 2923 |
| 4, 79 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Greatest Common Factor of 444,8769 By Matching Biggest Common Factor Method
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Greatest Common Factor
We found the factors 444,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 444,8769 is 111.
Lets's calculate LCM of 778,7126
| 2 | 778, 7126 |
| 389, 3563 |
∴ So the LCM of the given numbers is 2 x 389 x 3563 = 2772014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/2772014
Therefore, the GCF of Fractions 444/778,8769/7126 is 111/2772014
Least Common Multiple of 778,7126 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 778,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,7126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,7126) x common factors =2 x 1 = 2
LCM(778,7126) = ( 778 × 7126 ) / 2
LCM(778,7126) = 5544028 / 2
LCM(778,7126) = 2772014
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FAQs on GCF of Fractions of 444/778, 8769/7126
1. What is the HCF of 444,8769?
The HCF of 444,8769 is 111
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 444/778, 8769/7126?
Answer: GCF of Numerators as per given numbers 444/778, 8769/7126 is
GCF of Numerators i.e. for 444,8769 is 111
LCM of denominators i.e. for 778,7126 is 2772014.
Thus, GCF of Fractions is 111/2772014.Finally, GCF of Fractions for 444/778, 8769/7126 is 111/2772014.