GCF of 5698/627, 7782/3433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5698/627, 7782/3433 i.e 2/2152491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5698/627, 7782/3433.
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 5698/627,7782/3433?
Given fractions are 5698/627,7782/3433
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 5698/627,7782/3433, numerators are 5698,7782
Denominators are 627,3433
The GCF of 5698,7782 is 2 .
LCM of 627,3433 is 2152491.
The greatest common factor of 5698/627,7782/3433 = [GCF of 5698,7782]/[LCM of 627,3433]= 2/2152491
Therefore, the GCF of 5698/627,7782/3433 is 2/2152491.
To find the highest common factor of 5698,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 5698,7782 is 2.
Lets's calculate GCF of 5698,7782
| 2 | 5698, 7782 |
| 2849, 3891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5698,7782 By Matching Biggest Common Factor Method
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 5698,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 5698,7782 is 2.
Lets's calculate LCM of 627,3433
Given numbers has no common factors except 1. So, there LCM is their product i.e 2152491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2152491
Therefore, the GCF of Fractions 5698/627,7782/3433 is 2/2152491
Least Common Multiple of 627,3433 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 627,3433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,3433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,3433) x common factors =1 x 1 = 1
LCM(627,3433) = ( 627 × 3433 ) / 1
LCM(627,3433) = 2152491 / 1
LCM(627,3433) = 2152491
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FAQs on GCF of Fractions of 5698/627, 7782/3433
1. What is the HCF of 5698,7782?
The HCF of 5698,7782 is 2
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 5698/627, 7782/3433?
Answer: GCF of Numerators as per given numbers 5698/627, 7782/3433 is
GCF of Numerators i.e. for 5698,7782 is 2
LCM of denominators i.e. for 627,3433 is 2152491.
Thus, GCF of Fractions is 2/2152491.Finally, GCF of Fractions for 5698/627, 7782/3433 is 2/2152491.