GCF of 2528/977, 3874/8718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2528/977, 3874/8718 i.e 2/8517486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2528/977, 3874/8718.
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 2528/977,3874/8718?
Given fractions are 2528/977,3874/8718
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 2528/977,3874/8718, numerators are 2528,3874
Denominators are 977,8718
The GCF of 2528,3874 is 2 .
LCM of 977,8718 is 8517486.
The greatest common factor of 2528/977,3874/8718 = [GCF of 2528,3874]/[LCM of 977,8718]= 2/8517486
Therefore, the GCF of 2528/977,3874/8718 is 2/8517486.
To find the highest common factor of 2528,3874, we have to find the factors of both numbers and list the highest common factor.
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874
The HCF of 2528,3874 is 2.
Lets's calculate GCF of 2528,3874
| 2 | 2528, 3874 |
| 1264, 1937 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2528,3874 By Matching Biggest Common Factor Method
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Now, list down the factors of 3874
:1,2,13,26,149,298,1937,3874
Greatest Common Factor
We found the factors 2528,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,3874 is 2.
Lets's calculate LCM of 977,8718
Given numbers has no common factors except 1. So, there LCM is their product i.e 8517486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8517486
Therefore, the GCF of Fractions 2528/977,3874/8718 is 2/8517486
Least Common Multiple of 977,8718 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 977,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,8718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,8718) x common factors =1 x 1 = 1
LCM(977,8718) = ( 977 × 8718 ) / 1
LCM(977,8718) = 8517486 / 1
LCM(977,8718) = 8517486
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FAQs on GCF of Fractions of 2528/977, 3874/8718
1. What is the HCF of 2528,3874?
The HCF of 2528,3874 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 2528/977, 3874/8718?
Answer: GCF of Numerators as per given numbers 2528/977, 3874/8718 is
GCF of Numerators i.e. for 2528,3874 is 2
LCM of denominators i.e. for 977,8718 is 8517486.
Thus, GCF of Fractions is 2/8517486.Finally, GCF of Fractions for 2528/977, 3874/8718 is 2/8517486.