GCF of 8072/847, 5861/8982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8072/847, 5861/8982 i.e 1/7607754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8072/847, 5861/8982.
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 8072/847,5861/8982?
Given fractions are 8072/847,5861/8982
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 8072/847,5861/8982, numerators are 8072,5861
Denominators are 847,8982
The GCF of 8072,5861 is 1 .
LCM of 847,8982 is 7607754.
The greatest common factor of 8072/847,5861/8982 = [GCF of 8072,5861]/[LCM of 847,8982]= 1/7607754
Therefore, the GCF of 8072/847,5861/8982 is 1/7607754.
To find the highest common factor of 8072,5861, we have to find the factors of both numbers and list the highest common factor.
The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072
The factors of 5861 are 1, 5861
The HCF of 8072,5861 is 1.
Lets's calculate GCF of 8072,5861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8072,5861 By Matching Biggest Common Factor Method
Now, list down the factors of 8072
:1,2,4,8,1009,2018,4036,8072
Now, list down the factors of 5861
:1,5861
Greatest Common Factor
We found the factors 8072,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,5861 is 1.
Lets's calculate LCM of 847,8982
Given numbers has no common factors except 1. So, there LCM is their product i.e 7607754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7607754
Therefore, the GCF of Fractions 8072/847,5861/8982 is 1/7607754
Least Common Multiple of 847,8982 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 847,8982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,8982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,8982) x common factors =1 x 1 = 1
LCM(847,8982) = ( 847 × 8982 ) / 1
LCM(847,8982) = 7607754 / 1
LCM(847,8982) = 7607754
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FAQs on GCF of Fractions of 8072/847, 5861/8982
1. What is the HCF of 8072,5861?
The HCF of 8072,5861 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 8072/847, 5861/8982?
Answer: GCF of Numerators as per given numbers 8072/847, 5861/8982 is
GCF of Numerators i.e. for 8072,5861 is 1
LCM of denominators i.e. for 847,8982 is 7607754.
Thus, GCF of Fractions is 1/7607754.Finally, GCF of Fractions for 8072/847, 5861/8982 is 1/7607754.