GCF of 7754/849, 7387/4983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7754/849, 7387/4983 i.e 1/1410189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7754/849, 7387/4983.
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 7754/849,7387/4983?
Given fractions are 7754/849,7387/4983
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 7754/849,7387/4983, numerators are 7754,7387
Denominators are 849,4983
The GCF of 7754,7387 is 1 .
LCM of 849,4983 is 1410189.
The greatest common factor of 7754/849,7387/4983 = [GCF of 7754,7387]/[LCM of 849,4983]= 1/1410189
Therefore, the GCF of 7754/849,7387/4983 is 1/1410189.
To find the highest common factor of 7754,7387, we have to find the factors of both numbers and list the highest common factor.
The factors of 7754 are 1, 2, 3877, 7754
The factors of 7387 are 1, 83, 89, 7387
The HCF of 7754,7387 is 1.
Lets's calculate GCF of 7754,7387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7754,7387 By Matching Biggest Common Factor Method
Now, list down the factors of 7754
:1,2,3877,7754
Now, list down the factors of 7387
:1,83,89,7387
Greatest Common Factor
We found the factors 7754,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 7754,7387 is 1.
Lets's calculate LCM of 849,4983
| 3 | 849, 4983 |
| 283, 1661 |
∴ So the LCM of the given numbers is 3 x 283 x 1661 = 1410189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1410189
Therefore, the GCF of Fractions 7754/849,7387/4983 is 1/1410189
Least Common Multiple of 849,4983 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 849,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,4983) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,4983) x common factors =3 x 1 = 3
LCM(849,4983) = ( 849 × 4983 ) / 3
LCM(849,4983) = 4230567 / 3
LCM(849,4983) = 1410189
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FAQs on GCF of Fractions of 7754/849, 7387/4983
1. What is the HCF of 7754,7387?
The HCF of 7754,7387 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 7754/849, 7387/4983?
Answer: GCF of Numerators as per given numbers 7754/849, 7387/4983 is
GCF of Numerators i.e. for 7754,7387 is 1
LCM of denominators i.e. for 849,4983 is 1410189.
Thus, GCF of Fractions is 1/1410189.Finally, GCF of Fractions for 7754/849, 7387/4983 is 1/1410189.