GCF of 8495/196, 8939/7966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8495/196, 8939/7966 i.e 1/111524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8495/196, 8939/7966.
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 8495/196,8939/7966?
Given fractions are 8495/196,8939/7966
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 8495/196,8939/7966, numerators are 8495,8939
Denominators are 196,7966
The GCF of 8495,8939 is 1 .
LCM of 196,7966 is 111524.
The greatest common factor of 8495/196,8939/7966 = [GCF of 8495,8939]/[LCM of 196,7966]= 1/111524
Therefore, the GCF of 8495/196,8939/7966 is 1/111524.
To find the highest common factor of 8495,8939, we have to find the factors of both numbers and list the highest common factor.
The factors of 8495 are 1, 5, 1699, 8495
The factors of 8939 are 1, 7, 1277, 8939
The HCF of 8495,8939 is 1.
Lets's calculate GCF of 8495,8939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8495,8939 By Matching Biggest Common Factor Method
Now, list down the factors of 8495
:1,5,1699,8495
Now, list down the factors of 8939
:1,7,1277,8939
Greatest Common Factor
We found the factors 8495,8939 . The biggest common factor number is the GCF number.
So the greatest common factor 8495,8939 is 1.
Lets's calculate LCM of 196,7966
| 2 | 196, 7966 |
| 7 | 98, 3983 |
| 14, 569 |
∴ So the LCM of the given numbers is 2 x 7 x 14 x 569 = 111524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111524
Therefore, the GCF of Fractions 8495/196,8939/7966 is 1/111524
Least Common Multiple of 196,7966 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 196,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,7966) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(196,7966) x common factors =14 x 1 = 14
LCM(196,7966) = ( 196 × 7966 ) / 14
LCM(196,7966) = 1561336 / 14
LCM(196,7966) = 111524
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FAQs on GCF of Fractions of 8495/196, 8939/7966
1. What is the HCF of 8495,8939?
The HCF of 8495,8939 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 8495/196, 8939/7966?
Answer: GCF of Numerators as per given numbers 8495/196, 8939/7966 is
GCF of Numerators i.e. for 8495,8939 is 1
LCM of denominators i.e. for 196,7966 is 111524.
Thus, GCF of Fractions is 1/111524.Finally, GCF of Fractions for 8495/196, 8939/7966 is 1/111524.