GCF of 3067/854, 7102/8947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3067/854, 7102/8947 i.e 1/7640738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3067/854, 7102/8947.
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 3067/854,7102/8947?
Given fractions are 3067/854,7102/8947
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 3067/854,7102/8947, numerators are 3067,7102
Denominators are 854,8947
The GCF of 3067,7102 is 1 .
LCM of 854,8947 is 7640738.
The greatest common factor of 3067/854,7102/8947 = [GCF of 3067,7102]/[LCM of 854,8947]= 1/7640738
Therefore, the GCF of 3067/854,7102/8947 is 1/7640738.
To find the highest common factor of 3067,7102, we have to find the factors of both numbers and list the highest common factor.
The factors of 3067 are 1, 3067
The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102
The HCF of 3067,7102 is 1.
Lets's calculate GCF of 3067,7102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3067,7102 By Matching Biggest Common Factor Method
Now, list down the factors of 3067
:1,3067
Now, list down the factors of 7102
:1,2,53,67,106,134,3551,7102
Greatest Common Factor
We found the factors 3067,7102 . The biggest common factor number is the GCF number.
So the greatest common factor 3067,7102 is 1.
Lets's calculate LCM of 854,8947
Given numbers has no common factors except 1. So, there LCM is their product i.e 7640738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7640738
Therefore, the GCF of Fractions 3067/854,7102/8947 is 1/7640738
Least Common Multiple of 854,8947 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 854,8947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,8947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,8947) x common factors =1 x 1 = 1
LCM(854,8947) = ( 854 × 8947 ) / 1
LCM(854,8947) = 7640738 / 1
LCM(854,8947) = 7640738
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FAQs on GCF of Fractions of 3067/854, 7102/8947
1. What is the HCF of 3067,7102?
The HCF of 3067,7102 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 3067/854, 7102/8947?
Answer: GCF of Numerators as per given numbers 3067/854, 7102/8947 is
GCF of Numerators i.e. for 3067,7102 is 1
LCM of denominators i.e. for 854,8947 is 7640738.
Thus, GCF of Fractions is 1/7640738.Finally, GCF of Fractions for 3067/854, 7102/8947 is 1/7640738.