GCF of 7364/865, 6542/1406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7364/865, 6542/1406 i.e 2/1216190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7364/865, 6542/1406.
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 7364/865,6542/1406?
Given fractions are 7364/865,6542/1406
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 7364/865,6542/1406, numerators are 7364,6542
Denominators are 865,1406
The GCF of 7364,6542 is 2 .
LCM of 865,1406 is 1216190.
The greatest common factor of 7364/865,6542/1406 = [GCF of 7364,6542]/[LCM of 865,1406]= 2/1216190
Therefore, the GCF of 7364/865,6542/1406 is 2/1216190.
To find the highest common factor of 7364,6542, we have to find the factors of both numbers and list the highest common factor.
The factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364
The factors of 6542 are 1, 2, 3271, 6542
The HCF of 7364,6542 is 2.
Lets's calculate GCF of 7364,6542
| 2 | 7364, 6542 |
| 3682, 3271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7364,6542 By Matching Biggest Common Factor Method
Now, list down the factors of 7364
:1,2,4,7,14,28,263,526,1052,1841,3682,7364
Now, list down the factors of 6542
:1,2,3271,6542
Greatest Common Factor
We found the factors 7364,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 7364,6542 is 2.
Lets's calculate LCM of 865,1406
Given numbers has no common factors except 1. So, there LCM is their product i.e 1216190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1216190
Therefore, the GCF of Fractions 7364/865,6542/1406 is 2/1216190
Least Common Multiple of 865,1406 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 865,1406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,1406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,1406) x common factors =1 x 1 = 1
LCM(865,1406) = ( 865 × 1406 ) / 1
LCM(865,1406) = 1216190 / 1
LCM(865,1406) = 1216190
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FAQs on GCF of Fractions of 7364/865, 6542/1406
1. What is the HCF of 7364,6542?
The HCF of 7364,6542 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 7364/865, 6542/1406?
Answer: GCF of Numerators as per given numbers 7364/865, 6542/1406 is
GCF of Numerators i.e. for 7364,6542 is 2
LCM of denominators i.e. for 865,1406 is 1216190.
Thus, GCF of Fractions is 2/1216190.Finally, GCF of Fractions for 7364/865, 6542/1406 is 2/1216190.