GCF of 1127/878, 5088/9674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1127/878, 5088/9674 i.e 1/4246886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1127/878, 5088/9674.
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 1127/878,5088/9674?
Given fractions are 1127/878,5088/9674
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 1127/878,5088/9674, numerators are 1127,5088
Denominators are 878,9674
The GCF of 1127,5088 is 1 .
LCM of 878,9674 is 4246886.
The greatest common factor of 1127/878,5088/9674 = [GCF of 1127,5088]/[LCM of 878,9674]= 1/4246886
Therefore, the GCF of 1127/878,5088/9674 is 1/4246886.
To find the highest common factor of 1127,5088, we have to find the factors of both numbers and list the highest common factor.
The factors of 1127 are 1, 7, 23, 49, 161, 1127
The factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088
The HCF of 1127,5088 is 1.
Lets's calculate GCF of 1127,5088
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1127,5088 By Matching Biggest Common Factor Method
Now, list down the factors of 1127
:1,7,23,49,161,1127
Now, list down the factors of 5088
:1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Greatest Common Factor
We found the factors 1127,5088 . The biggest common factor number is the GCF number.
So the greatest common factor 1127,5088 is 1.
Lets's calculate LCM of 878,9674
| 2 | 878, 9674 |
| 439, 4837 |
∴ So the LCM of the given numbers is 2 x 439 x 4837 = 4246886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4246886
Therefore, the GCF of Fractions 1127/878,5088/9674 is 1/4246886
Least Common Multiple of 878,9674 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 878,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,9674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,9674) x common factors =2 x 1 = 2
LCM(878,9674) = ( 878 × 9674 ) / 2
LCM(878,9674) = 8493772 / 2
LCM(878,9674) = 4246886
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FAQs on GCF of Fractions of 1127/878, 5088/9674
1. What is the HCF of 1127,5088?
The HCF of 1127,5088 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 1127/878, 5088/9674?
Answer: GCF of Numerators as per given numbers 1127/878, 5088/9674 is
GCF of Numerators i.e. for 1127,5088 is 1
LCM of denominators i.e. for 878,9674 is 4246886.
Thus, GCF of Fractions is 1/4246886.Finally, GCF of Fractions for 1127/878, 5088/9674 is 1/4246886.