GCF of 4763/889, 6435/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4763/889, 6435/753 i.e 11/669417 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4763/889, 6435/753.
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 4763/889,6435/753?
Given fractions are 4763/889,6435/753
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 4763/889,6435/753, numerators are 4763,6435
Denominators are 889,753
The GCF of 4763,6435 is 11 .
LCM of 889,753 is 669417.
The greatest common factor of 4763/889,6435/753 = [GCF of 4763,6435]/[LCM of 889,753]= 11/669417
Therefore, the GCF of 4763/889,6435/753 is 11/669417.
To find the highest common factor of 4763,6435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4763 are 1, 11, 433, 4763
The factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435
The HCF of 4763,6435 is 11.
Lets's calculate GCF of 4763,6435
| 11 | 4763, 6435 |
| 433, 585 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4763,6435 By Matching Biggest Common Factor Method
Now, list down the factors of 4763
:1,11,433,4763
Now, list down the factors of 6435
:1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Greatest Common Factor
We found the factors 4763,6435 . The biggest common factor number is the GCF number.
So the greatest common factor 4763,6435 is 11.
Lets's calculate LCM of 889,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 669417
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/669417
Therefore, the GCF of Fractions 4763/889,6435/753 is 11/669417
Least Common Multiple of 889,753 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 889,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,753) x common factors =1 x 1 = 1
LCM(889,753) = ( 889 × 753 ) / 1
LCM(889,753) = 669417 / 1
LCM(889,753) = 669417
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FAQs on GCF of Fractions of 4763/889, 6435/753
1. What is the HCF of 4763,6435?
The HCF of 4763,6435 is 11
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 4763/889, 6435/753?
Answer: GCF of Numerators as per given numbers 4763/889, 6435/753 is
GCF of Numerators i.e. for 4763,6435 is 11
LCM of denominators i.e. for 889,753 is 669417.
Thus, GCF of Fractions is 11/669417.Finally, GCF of Fractions for 4763/889, 6435/753 is 11/669417.