GCF of 878/68, 545/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 878/68, 545/284 i.e 1/4828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/68, 545/284.
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 878/68,545/284?
Given fractions are 878/68,545/284
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 878/68,545/284, numerators are 878,545
Denominators are 68,284
The GCF of 878,545 is 1 .
LCM of 68,284 is 4828.
The greatest common factor of 878/68,545/284 = [GCF of 878,545]/[LCM of 68,284]= 1/4828
Therefore, the GCF of 878/68,545/284 is 1/4828.
To find the highest common factor of 878,545, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 545 are 1, 5, 109, 545
The HCF of 878,545 is 1.
Lets's calculate GCF of 878,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 878,545 By Matching Biggest Common Factor Method
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 545
:1,5,109,545
Greatest Common Factor
We found the factors 878,545 . The biggest common factor number is the GCF number.
So the greatest common factor 878,545 is 1.
Lets's calculate LCM of 68,284
| 2 | 68, 284 |
| 2 | 34, 142 |
| 17, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 71 = 4828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4828
Therefore, the GCF of Fractions 878/68,545/284 is 1/4828
Least Common Multiple of 68,284 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 68,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,284) x common factors =4 x 1 = 4
LCM(68,284) = ( 68 × 284 ) / 4
LCM(68,284) = 19312 / 4
LCM(68,284) = 4828
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FAQs on GCF of Fractions of 878/68, 545/284
1. What is the HCF of 878,545?
The HCF of 878,545 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 878/68, 545/284?
Answer: GCF of Numerators as per given numbers 878/68, 545/284 is
GCF of Numerators i.e. for 878,545 is 1
LCM of denominators i.e. for 68,284 is 4828.
Thus, GCF of Fractions is 1/4828.Finally, GCF of Fractions for 878/68, 545/284 is 1/4828.