GCF of 5407/740, 8526/7095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5407/740, 8526/7095 i.e 1/1050060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5407/740, 8526/7095.
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 5407/740,8526/7095?
Given fractions are 5407/740,8526/7095
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 5407/740,8526/7095, numerators are 5407,8526
Denominators are 740,7095
The GCF of 5407,8526 is 1 .
LCM of 740,7095 is 1050060.
The greatest common factor of 5407/740,8526/7095 = [GCF of 5407,8526]/[LCM of 740,7095]= 1/1050060
Therefore, the GCF of 5407/740,8526/7095 is 1/1050060.
To find the highest common factor of 5407,8526, we have to find the factors of both numbers and list the highest common factor.
The factors of 5407 are 1, 5407
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The HCF of 5407,8526 is 1.
Lets's calculate GCF of 5407,8526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5407,8526 By Matching Biggest Common Factor Method
Now, list down the factors of 5407
:1,5407
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 5407,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 5407,8526 is 1.
Lets's calculate LCM of 740,7095
| 5 | 740, 7095 |
| 148, 1419 |
∴ So the LCM of the given numbers is 5 x 148 x 1419 = 1050060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1050060
Therefore, the GCF of Fractions 5407/740,8526/7095 is 1/1050060
Least Common Multiple of 740,7095 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 740,7095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,7095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(740,7095) x common factors =5 x 1 = 5
LCM(740,7095) = ( 740 × 7095 ) / 5
LCM(740,7095) = 5250300 / 5
LCM(740,7095) = 1050060
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FAQs on GCF of Fractions of 5407/740, 8526/7095
1. What is the HCF of 5407,8526?
The HCF of 5407,8526 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 5407/740, 8526/7095?
Answer: GCF of Numerators as per given numbers 5407/740, 8526/7095 is
GCF of Numerators i.e. for 5407,8526 is 1
LCM of denominators i.e. for 740,7095 is 1050060.
Thus, GCF of Fractions is 1/1050060.Finally, GCF of Fractions for 5407/740, 8526/7095 is 1/1050060.