GCF of 1007/155, 8207/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1007/155, 8207/544 i.e 1/84320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1007/155, 8207/544.
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 1007/155,8207/544?
Given fractions are 1007/155,8207/544
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 1007/155,8207/544, numerators are 1007,8207
Denominators are 155,544
The GCF of 1007,8207 is 1 .
LCM of 155,544 is 84320.
The greatest common factor of 1007/155,8207/544 = [GCF of 1007,8207]/[LCM of 155,544]= 1/84320
Therefore, the GCF of 1007/155,8207/544 is 1/84320.
To find the highest common factor of 1007,8207, we have to find the factors of both numbers and list the highest common factor.
The factors of 1007 are 1, 19, 53, 1007
The factors of 8207 are 1, 29, 283, 8207
The HCF of 1007,8207 is 1.
Lets's calculate GCF of 1007,8207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1007,8207 By Matching Biggest Common Factor Method
Now, list down the factors of 1007
:1,19,53,1007
Now, list down the factors of 8207
:1,29,283,8207
Greatest Common Factor
We found the factors 1007,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 1007,8207 is 1.
Lets's calculate LCM of 155,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 84320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84320
Therefore, the GCF of Fractions 1007/155,8207/544 is 1/84320
Least Common Multiple of 155,544 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 155,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,544) x common factors =1 x 1 = 1
LCM(155,544) = ( 155 × 544 ) / 1
LCM(155,544) = 84320 / 1
LCM(155,544) = 84320
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FAQs on GCF of Fractions of 1007/155, 8207/544
1. What is the HCF of 1007,8207?
The HCF of 1007,8207 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 1007/155, 8207/544?
Answer: GCF of Numerators as per given numbers 1007/155, 8207/544 is
GCF of Numerators i.e. for 1007,8207 is 1
LCM of denominators i.e. for 155,544 is 84320.
Thus, GCF of Fractions is 1/84320.Finally, GCF of Fractions for 1007/155, 8207/544 is 1/84320.