GCF of 6526/157, 6914/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6526/157, 6914/1984 i.e 2/311488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6526/157, 6914/1984.
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 6526/157,6914/1984?
Given fractions are 6526/157,6914/1984
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 6526/157,6914/1984, numerators are 6526,6914
Denominators are 157,1984
The GCF of 6526,6914 is 2 .
LCM of 157,1984 is 311488.
The greatest common factor of 6526/157,6914/1984 = [GCF of 6526,6914]/[LCM of 157,1984]= 2/311488
Therefore, the GCF of 6526/157,6914/1984 is 2/311488.
To find the highest common factor of 6526,6914, we have to find the factors of both numbers and list the highest common factor.
The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526
The factors of 6914 are 1, 2, 3457, 6914
The HCF of 6526,6914 is 2.
Lets's calculate GCF of 6526,6914
| 2 | 6526, 6914 |
| 3263, 3457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6526,6914 By Matching Biggest Common Factor Method
Now, list down the factors of 6526
:1,2,13,26,251,502,3263,6526
Now, list down the factors of 6914
:1,2,3457,6914
Greatest Common Factor
We found the factors 6526,6914 . The biggest common factor number is the GCF number.
So the greatest common factor 6526,6914 is 2.
Lets's calculate LCM of 157,1984
Given numbers has no common factors except 1. So, there LCM is their product i.e 311488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311488
Therefore, the GCF of Fractions 6526/157,6914/1984 is 2/311488
Least Common Multiple of 157,1984 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 157,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,1984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,1984) x common factors =1 x 1 = 1
LCM(157,1984) = ( 157 × 1984 ) / 1
LCM(157,1984) = 311488 / 1
LCM(157,1984) = 311488
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FAQs on GCF of Fractions of 6526/157, 6914/1984
1. What is the HCF of 6526,6914?
The HCF of 6526,6914 is 2
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 6526/157, 6914/1984?
Answer: GCF of Numerators as per given numbers 6526/157, 6914/1984 is
GCF of Numerators i.e. for 6526,6914 is 2
LCM of denominators i.e. for 157,1984 is 311488.
Thus, GCF of Fractions is 2/311488.Finally, GCF of Fractions for 6526/157, 6914/1984 is 2/311488.