GCF of 6499/616, 4520/6860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6499/616, 4520/6860 i.e 1/150920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6499/616, 4520/6860.
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 6499/616,4520/6860?
Given fractions are 6499/616,4520/6860
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 6499/616,4520/6860, numerators are 6499,4520
Denominators are 616,6860
The GCF of 6499,4520 is 1 .
LCM of 616,6860 is 150920.
The greatest common factor of 6499/616,4520/6860 = [GCF of 6499,4520]/[LCM of 616,6860]= 1/150920
Therefore, the GCF of 6499/616,4520/6860 is 1/150920.
To find the highest common factor of 6499,4520, we have to find the factors of both numbers and list the highest common factor.
The factors of 6499 are 1, 67, 97, 6499
The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The HCF of 6499,4520 is 1.
Lets's calculate GCF of 6499,4520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6499,4520 By Matching Biggest Common Factor Method
Now, list down the factors of 6499
:1,67,97,6499
Now, list down the factors of 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Greatest Common Factor
We found the factors 6499,4520 . The biggest common factor number is the GCF number.
So the greatest common factor 6499,4520 is 1.
Lets's calculate LCM of 616,6860
| 2 | 616, 6860 |
| 2 | 308, 3430 |
| 7 | 154, 1715 |
| 22, 245 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 245 = 150920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150920
Therefore, the GCF of Fractions 6499/616,4520/6860 is 1/150920
Least Common Multiple of 616,6860 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 616,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,6860) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(616,6860) x common factors =28 x 1 = 28
LCM(616,6860) = ( 616 × 6860 ) / 28
LCM(616,6860) = 4225760 / 28
LCM(616,6860) = 150920
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FAQs on GCF of Fractions of 6499/616, 4520/6860
1. What is the HCF of 6499,4520?
The HCF of 6499,4520 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 6499/616, 4520/6860?
Answer: GCF of Numerators as per given numbers 6499/616, 4520/6860 is
GCF of Numerators i.e. for 6499,4520 is 1
LCM of denominators i.e. for 616,6860 is 150920.
Thus, GCF of Fractions is 1/150920.Finally, GCF of Fractions for 6499/616, 4520/6860 is 1/150920.