GCF of 126/86, 756/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 126/86, 756/897 i.e 126/77142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/86, 756/897.
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 126/86,756/897?
Given fractions are 126/86,756/897
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 126/86,756/897, numerators are 126,756
Denominators are 86,897
The GCF of 126,756 is 126 .
LCM of 86,897 is 77142.
The greatest common factor of 126/86,756/897 = [GCF of 126,756]/[LCM of 86,897]= 126/77142
Therefore, the GCF of 126/86,756/897 is 126/77142.
To find the highest common factor of 126,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 126,756 is 126.
Lets's calculate GCF of 126,756
| 2 | 126, 756 |
| 3 | 63, 378 |
| 3 | 21, 126 |
| 7 | 7, 42 |
| 1, 6 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 7 = 126
Greatest Common Factor of 126,756 By Matching Biggest Common Factor Method
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 126,756 . The biggest common factor number is the GCF number.
So the greatest common factor 126,756 is 126.
Lets's calculate LCM of 86,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 77142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 126/77142
Therefore, the GCF of Fractions 126/86,756/897 is 126/77142
Least Common Multiple of 86,897 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 86,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,897) x common factors =1 x 1 = 1
LCM(86,897) = ( 86 × 897 ) / 1
LCM(86,897) = 77142 / 1
LCM(86,897) = 77142
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FAQs on GCF of Fractions of 126/86, 756/897
1. What is the HCF of 126,756?
The HCF of 126,756 is 126
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 126/86, 756/897?
Answer: GCF of Numerators as per given numbers 126/86, 756/897 is
GCF of Numerators i.e. for 126,756 is 126
LCM of denominators i.e. for 86,897 is 77142.
Thus, GCF of Fractions is 126/77142.Finally, GCF of Fractions for 126/86, 756/897 is 126/77142.