GCF of 1534/577, 8202/7055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1534/577, 8202/7055 i.e 2/4070735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1534/577, 8202/7055.
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 1534/577,8202/7055?
Given fractions are 1534/577,8202/7055
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 1534/577,8202/7055, numerators are 1534,8202
Denominators are 577,7055
The GCF of 1534,8202 is 2 .
LCM of 577,7055 is 4070735.
The greatest common factor of 1534/577,8202/7055 = [GCF of 1534,8202]/[LCM of 577,7055]= 2/4070735
Therefore, the GCF of 1534/577,8202/7055 is 2/4070735.
To find the highest common factor of 1534,8202, we have to find the factors of both numbers and list the highest common factor.
The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534
The factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202
The HCF of 1534,8202 is 2.
Lets's calculate GCF of 1534,8202
| 2 | 1534, 8202 |
| 767, 4101 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1534,8202 By Matching Biggest Common Factor Method
Now, list down the factors of 1534
:1,2,13,26,59,118,767,1534
Now, list down the factors of 8202
:1,2,3,6,1367,2734,4101,8202
Greatest Common Factor
We found the factors 1534,8202 . The biggest common factor number is the GCF number.
So the greatest common factor 1534,8202 is 2.
Lets's calculate LCM of 577,7055
Given numbers has no common factors except 1. So, there LCM is their product i.e 4070735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4070735
Therefore, the GCF of Fractions 1534/577,8202/7055 is 2/4070735
Least Common Multiple of 577,7055 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 577,7055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,7055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,7055) x common factors =1 x 1 = 1
LCM(577,7055) = ( 577 × 7055 ) / 1
LCM(577,7055) = 4070735 / 1
LCM(577,7055) = 4070735
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FAQs on GCF of Fractions of 1534/577, 8202/7055
1. What is the HCF of 1534,8202?
The HCF of 1534,8202 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 1534/577, 8202/7055?
Answer: GCF of Numerators as per given numbers 1534/577, 8202/7055 is
GCF of Numerators i.e. for 1534,8202 is 2
LCM of denominators i.e. for 577,7055 is 4070735.
Thus, GCF of Fractions is 2/4070735.Finally, GCF of Fractions for 1534/577, 8202/7055 is 2/4070735.