GCF of 6974/967, 5431/7617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6974/967, 5431/7617 i.e 1/7365639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6974/967, 5431/7617.
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 6974/967,5431/7617?
Given fractions are 6974/967,5431/7617
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 6974/967,5431/7617, numerators are 6974,5431
Denominators are 967,7617
The GCF of 6974,5431 is 1 .
LCM of 967,7617 is 7365639.
The greatest common factor of 6974/967,5431/7617 = [GCF of 6974,5431]/[LCM of 967,7617]= 1/7365639
Therefore, the GCF of 6974/967,5431/7617 is 1/7365639.
To find the highest common factor of 6974,5431, we have to find the factors of both numbers and list the highest common factor.
The factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974
The factors of 5431 are 1, 5431
The HCF of 6974,5431 is 1.
Lets's calculate GCF of 6974,5431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6974,5431 By Matching Biggest Common Factor Method
Now, list down the factors of 6974
:1,2,11,22,317,634,3487,6974
Now, list down the factors of 5431
:1,5431
Greatest Common Factor
We found the factors 6974,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 6974,5431 is 1.
Lets's calculate LCM of 967,7617
Given numbers has no common factors except 1. So, there LCM is their product i.e 7365639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7365639
Therefore, the GCF of Fractions 6974/967,5431/7617 is 1/7365639
Least Common Multiple of 967,7617 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 967,7617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,7617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,7617) x common factors =1 x 1 = 1
LCM(967,7617) = ( 967 × 7617 ) / 1
LCM(967,7617) = 7365639 / 1
LCM(967,7617) = 7365639
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FAQs on GCF of Fractions of 6974/967, 5431/7617
1. What is the HCF of 6974,5431?
The HCF of 6974,5431 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 6974/967, 5431/7617?
Answer: GCF of Numerators as per given numbers 6974/967, 5431/7617 is
GCF of Numerators i.e. for 6974,5431 is 1
LCM of denominators i.e. for 967,7617 is 7365639.
Thus, GCF of Fractions is 1/7365639.Finally, GCF of Fractions for 6974/967, 5431/7617 is 1/7365639.