GCF of 1407/113, 1102/7997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1407/113, 1102/7997 i.e 1/903661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1407/113, 1102/7997.
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 1407/113,1102/7997?
Given fractions are 1407/113,1102/7997
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 1407/113,1102/7997, numerators are 1407,1102
Denominators are 113,7997
The GCF of 1407,1102 is 1 .
LCM of 113,7997 is 903661.
The greatest common factor of 1407/113,1102/7997 = [GCF of 1407,1102]/[LCM of 113,7997]= 1/903661
Therefore, the GCF of 1407/113,1102/7997 is 1/903661.
To find the highest common factor of 1407,1102, we have to find the factors of both numbers and list the highest common factor.
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The HCF of 1407,1102 is 1.
Lets's calculate GCF of 1407,1102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1407,1102 By Matching Biggest Common Factor Method
Now, list down the factors of 1407
:1,3,7,21,67,201,469,1407
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 1407,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 1407,1102 is 1.
Lets's calculate LCM of 113,7997
Given numbers has no common factors except 1. So, there LCM is their product i.e 903661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903661
Therefore, the GCF of Fractions 1407/113,1102/7997 is 1/903661
Least Common Multiple of 113,7997 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 113,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,7997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,7997) x common factors =1 x 1 = 1
LCM(113,7997) = ( 113 × 7997 ) / 1
LCM(113,7997) = 903661 / 1
LCM(113,7997) = 903661
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FAQs on GCF of Fractions of 1407/113, 1102/7997
1. What is the HCF of 1407,1102?
The HCF of 1407,1102 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 1407/113, 1102/7997?
Answer: GCF of Numerators as per given numbers 1407/113, 1102/7997 is
GCF of Numerators i.e. for 1407,1102 is 1
LCM of denominators i.e. for 113,7997 is 903661.
Thus, GCF of Fractions is 1/903661.Finally, GCF of Fractions for 1407/113, 1102/7997 is 1/903661.