GCF of 2507/867, 7547/9321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2507/867, 7547/9321 i.e 1/2693769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/867, 7547/9321.
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 2507/867,7547/9321?
Given fractions are 2507/867,7547/9321
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 2507/867,7547/9321, numerators are 2507,7547
Denominators are 867,9321
The GCF of 2507,7547 is 1 .
LCM of 867,9321 is 2693769.
The greatest common factor of 2507/867,7547/9321 = [GCF of 2507,7547]/[LCM of 867,9321]= 1/2693769
Therefore, the GCF of 2507/867,7547/9321 is 1/2693769.
To find the highest common factor of 2507,7547, we have to find the factors of both numbers and list the highest common factor.
The factors of 2507 are 1, 23, 109, 2507
The factors of 7547 are 1, 7547
The HCF of 2507,7547 is 1.
Lets's calculate GCF of 2507,7547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2507,7547 By Matching Biggest Common Factor Method
Now, list down the factors of 2507
:1,23,109,2507
Now, list down the factors of 7547
:1,7547
Greatest Common Factor
We found the factors 2507,7547 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,7547 is 1.
Lets's calculate LCM of 867,9321
| 3 | 867, 9321 |
| 289, 3107 |
∴ So the LCM of the given numbers is 3 x 289 x 3107 = 2693769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2693769
Therefore, the GCF of Fractions 2507/867,7547/9321 is 1/2693769
Least Common Multiple of 867,9321 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 867,9321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,9321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,9321) x common factors =3 x 1 = 3
LCM(867,9321) = ( 867 × 9321 ) / 3
LCM(867,9321) = 8081307 / 3
LCM(867,9321) = 2693769
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2507/867, 7547/9321
1. What is the HCF of 2507,7547?
The HCF of 2507,7547 is 1
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 2507/867, 7547/9321?
Answer: GCF of Numerators as per given numbers 2507/867, 7547/9321 is
GCF of Numerators i.e. for 2507,7547 is 1
LCM of denominators i.e. for 867,9321 is 2693769.
Thus, GCF of Fractions is 1/2693769.Finally, GCF of Fractions for 2507/867, 7547/9321 is 1/2693769.