GCF of 2534/770, 6503/5005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2534/770, 6503/5005 i.e 7/10010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2534/770, 6503/5005.
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 2534/770,6503/5005?
Given fractions are 2534/770,6503/5005
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 2534/770,6503/5005, numerators are 2534,6503
Denominators are 770,5005
The GCF of 2534,6503 is 7 .
LCM of 770,5005 is 10010.
The greatest common factor of 2534/770,6503/5005 = [GCF of 2534,6503]/[LCM of 770,5005]= 7/10010
Therefore, the GCF of 2534/770,6503/5005 is 7/10010.
To find the highest common factor of 2534,6503, we have to find the factors of both numbers and list the highest common factor.
The factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534
The factors of 6503 are 1, 7, 929, 6503
The HCF of 2534,6503 is 7.
Lets's calculate GCF of 2534,6503
| 7 | 2534, 6503 |
| 362, 929 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2534,6503 By Matching Biggest Common Factor Method
Now, list down the factors of 2534
:1,2,7,14,181,362,1267,2534
Now, list down the factors of 6503
:1,7,929,6503
Greatest Common Factor
We found the factors 2534,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 2534,6503 is 7.
Lets's calculate LCM of 770,5005
| 5 | 770, 5005 |
| 7 | 154, 1001 |
| 11 | 22, 143 |
| 2, 13 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 2 x 13 = 10010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10010
Therefore, the GCF of Fractions 2534/770,6503/5005 is 7/10010
Least Common Multiple of 770,5005 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 770,5005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,5005) = 385
common factors(in case of two or more numbers have common factors) = 1
GCF(770,5005) x common factors =385 x 1 = 385
LCM(770,5005) = ( 770 × 5005 ) / 385
LCM(770,5005) = 3853850 / 385
LCM(770,5005) = 10010
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FAQs on GCF of Fractions of 2534/770, 6503/5005
1. What is the HCF of 2534,6503?
The HCF of 2534,6503 is 7
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 2534/770, 6503/5005?
Answer: GCF of Numerators as per given numbers 2534/770, 6503/5005 is
GCF of Numerators i.e. for 2534,6503 is 7
LCM of denominators i.e. for 770,5005 is 10010.
Thus, GCF of Fractions is 7/10010.Finally, GCF of Fractions for 2534/770, 6503/5005 is 7/10010.