GCF of 4895/602, 3069/5028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4895/602, 3069/5028 i.e 11/1513428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4895/602, 3069/5028.
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 4895/602,3069/5028?
Given fractions are 4895/602,3069/5028
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 4895/602,3069/5028, numerators are 4895,3069
Denominators are 602,5028
The GCF of 4895,3069 is 11 .
LCM of 602,5028 is 1513428.
The greatest common factor of 4895/602,3069/5028 = [GCF of 4895,3069]/[LCM of 602,5028]= 11/1513428
Therefore, the GCF of 4895/602,3069/5028 is 11/1513428.
To find the highest common factor of 4895,3069, we have to find the factors of both numbers and list the highest common factor.
The factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895
The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
The HCF of 4895,3069 is 11.
Lets's calculate GCF of 4895,3069
| 11 | 4895, 3069 |
| 445, 279 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4895,3069 By Matching Biggest Common Factor Method
Now, list down the factors of 4895
:1,5,11,55,89,445,979,4895
Now, list down the factors of 3069
:1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 4895,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 4895,3069 is 11.
Lets's calculate LCM of 602,5028
| 2 | 602, 5028 |
| 301, 2514 |
∴ So the LCM of the given numbers is 2 x 301 x 2514 = 1513428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1513428
Therefore, the GCF of Fractions 4895/602,3069/5028 is 11/1513428
Least Common Multiple of 602,5028 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 602,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,5028) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,5028) x common factors =2 x 1 = 2
LCM(602,5028) = ( 602 × 5028 ) / 2
LCM(602,5028) = 3026856 / 2
LCM(602,5028) = 1513428
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FAQs on GCF of Fractions of 4895/602, 3069/5028
1. What is the HCF of 4895,3069?
The HCF of 4895,3069 is 11
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 4895/602, 3069/5028?
Answer: GCF of Numerators as per given numbers 4895/602, 3069/5028 is
GCF of Numerators i.e. for 4895,3069 is 11
LCM of denominators i.e. for 602,5028 is 1513428.
Thus, GCF of Fractions is 11/1513428.Finally, GCF of Fractions for 4895/602, 3069/5028 is 11/1513428.