GCF of 8677/754, 7949/1948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8677/754, 7949/1948 i.e 1/734396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8677/754, 7949/1948.
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 8677/754,7949/1948?
Given fractions are 8677/754,7949/1948
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 8677/754,7949/1948, numerators are 8677,7949
Denominators are 754,1948
The GCF of 8677,7949 is 1 .
LCM of 754,1948 is 734396.
The greatest common factor of 8677/754,7949/1948 = [GCF of 8677,7949]/[LCM of 754,1948]= 1/734396
Therefore, the GCF of 8677/754,7949/1948 is 1/734396.
To find the highest common factor of 8677,7949, we have to find the factors of both numbers and list the highest common factor.
The factors of 8677 are 1, 8677
The factors of 7949 are 1, 7949
The HCF of 8677,7949 is 1.
Lets's calculate GCF of 8677,7949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8677,7949 By Matching Biggest Common Factor Method
Now, list down the factors of 8677
:1,8677
Now, list down the factors of 7949
:1,7949
Greatest Common Factor
We found the factors 8677,7949 . The biggest common factor number is the GCF number.
So the greatest common factor 8677,7949 is 1.
Lets's calculate LCM of 754,1948
| 2 | 754, 1948 |
| 377, 974 |
∴ So the LCM of the given numbers is 2 x 377 x 974 = 734396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734396
Therefore, the GCF of Fractions 8677/754,7949/1948 is 1/734396
Least Common Multiple of 754,1948 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 754,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,1948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,1948) x common factors =2 x 1 = 2
LCM(754,1948) = ( 754 × 1948 ) / 2
LCM(754,1948) = 1468792 / 2
LCM(754,1948) = 734396
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FAQs on GCF of Fractions of 8677/754, 7949/1948
1. What is the HCF of 8677,7949?
The HCF of 8677,7949 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 8677/754, 7949/1948?
Answer: GCF of Numerators as per given numbers 8677/754, 7949/1948 is
GCF of Numerators i.e. for 8677,7949 is 1
LCM of denominators i.e. for 754,1948 is 734396.
Thus, GCF of Fractions is 1/734396.Finally, GCF of Fractions for 8677/754, 7949/1948 is 1/734396.