GCF of 1876/538, 7780/2617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1876/538, 7780/2617 i.e 4/1407946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1876/538, 7780/2617.
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 1876/538,7780/2617?
Given fractions are 1876/538,7780/2617
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 1876/538,7780/2617, numerators are 1876,7780
Denominators are 538,2617
The GCF of 1876,7780 is 4 .
LCM of 538,2617 is 1407946.
The greatest common factor of 1876/538,7780/2617 = [GCF of 1876,7780]/[LCM of 538,2617]= 4/1407946
Therefore, the GCF of 1876/538,7780/2617 is 4/1407946.
To find the highest common factor of 1876,7780, we have to find the factors of both numbers and list the highest common factor.
The factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The HCF of 1876,7780 is 4.
Lets's calculate GCF of 1876,7780
| 2 | 1876, 7780 |
| 2 | 938, 3890 |
| 469, 1945 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1876,7780 By Matching Biggest Common Factor Method
Now, list down the factors of 1876
:1,2,4,7,14,28,67,134,268,469,938,1876
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 1876,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 1876,7780 is 4.
Lets's calculate LCM of 538,2617
Given numbers has no common factors except 1. So, there LCM is their product i.e 1407946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1407946
Therefore, the GCF of Fractions 1876/538,7780/2617 is 4/1407946
Least Common Multiple of 538,2617 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 538,2617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2617) x common factors =1 x 1 = 1
LCM(538,2617) = ( 538 × 2617 ) / 1
LCM(538,2617) = 1407946 / 1
LCM(538,2617) = 1407946
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FAQs on GCF of Fractions of 1876/538, 7780/2617
1. What is the HCF of 1876,7780?
The HCF of 1876,7780 is 4
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 1876/538, 7780/2617?
Answer: GCF of Numerators as per given numbers 1876/538, 7780/2617 is
GCF of Numerators i.e. for 1876,7780 is 4
LCM of denominators i.e. for 538,2617 is 1407946.
Thus, GCF of Fractions is 4/1407946.Finally, GCF of Fractions for 1876/538, 7780/2617 is 4/1407946.