GCF of 7436/710, 6305/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7436/710, 6305/984 i.e 13/349320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/710, 6305/984.
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 7436/710,6305/984?
Given fractions are 7436/710,6305/984
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 7436/710,6305/984, numerators are 7436,6305
Denominators are 710,984
The GCF of 7436,6305 is 13 .
LCM of 710,984 is 349320.
The greatest common factor of 7436/710,6305/984 = [GCF of 7436,6305]/[LCM of 710,984]= 13/349320
Therefore, the GCF of 7436/710,6305/984 is 13/349320.
To find the highest common factor of 7436,6305, we have to find the factors of both numbers and list the highest common factor.
The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The HCF of 7436,6305 is 13.
Lets's calculate GCF of 7436,6305
| 13 | 7436, 6305 |
| 572, 485 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7436,6305 By Matching Biggest Common Factor Method
Now, list down the factors of 7436
:1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 7436,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,6305 is 13.
Lets's calculate LCM of 710,984
| 2 | 710, 984 |
| 355, 492 |
∴ So the LCM of the given numbers is 2 x 355 x 492 = 349320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/349320
Therefore, the GCF of Fractions 7436/710,6305/984 is 13/349320
Least Common Multiple of 710,984 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 710,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,984) x common factors =2 x 1 = 2
LCM(710,984) = ( 710 × 984 ) / 2
LCM(710,984) = 698640 / 2
LCM(710,984) = 349320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7436/710, 6305/984
1. What is the HCF of 7436,6305?
The HCF of 7436,6305 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 7436/710, 6305/984?
Answer: GCF of Numerators as per given numbers 7436/710, 6305/984 is
GCF of Numerators i.e. for 7436,6305 is 13
LCM of denominators i.e. for 710,984 is 349320.
Thus, GCF of Fractions is 13/349320.Finally, GCF of Fractions for 7436/710, 6305/984 is 13/349320.