GCF of 8476/770, 6305/9778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8476/770, 6305/9778 i.e 13/3764530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8476/770, 6305/9778.
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 8476/770,6305/9778?
Given fractions are 8476/770,6305/9778
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 8476/770,6305/9778, numerators are 8476,6305
Denominators are 770,9778
The GCF of 8476,6305 is 13 .
LCM of 770,9778 is 3764530.
The greatest common factor of 8476/770,6305/9778 = [GCF of 8476,6305]/[LCM of 770,9778]= 13/3764530
Therefore, the GCF of 8476/770,6305/9778 is 13/3764530.
To find the highest common factor of 8476,6305, we have to find the factors of both numbers and list the highest common factor.
The factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The HCF of 8476,6305 is 13.
Lets's calculate GCF of 8476,6305
| 13 | 8476, 6305 |
| 652, 485 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8476,6305 By Matching Biggest Common Factor Method
Now, list down the factors of 8476
:1,2,4,13,26,52,163,326,652,2119,4238,8476
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 8476,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 8476,6305 is 13.
Lets's calculate LCM of 770,9778
| 2 | 770, 9778 |
| 385, 4889 |
∴ So the LCM of the given numbers is 2 x 385 x 4889 = 3764530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3764530
Therefore, the GCF of Fractions 8476/770,6305/9778 is 13/3764530
Least Common Multiple of 770,9778 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 770,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,9778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,9778) x common factors =2 x 1 = 2
LCM(770,9778) = ( 770 × 9778 ) / 2
LCM(770,9778) = 7529060 / 2
LCM(770,9778) = 3764530
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FAQs on GCF of Fractions of 8476/770, 6305/9778
1. What is the HCF of 8476,6305?
The HCF of 8476,6305 is 13
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 8476/770, 6305/9778?
Answer: GCF of Numerators as per given numbers 8476/770, 6305/9778 is
GCF of Numerators i.e. for 8476,6305 is 13
LCM of denominators i.e. for 770,9778 is 3764530.
Thus, GCF of Fractions is 13/3764530.Finally, GCF of Fractions for 8476/770, 6305/9778 is 13/3764530.