GCF of 5088/696, 1707/2140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5088/696, 1707/2140 i.e 3/372360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5088/696, 1707/2140.
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 5088/696,1707/2140?
Given fractions are 5088/696,1707/2140
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 5088/696,1707/2140, numerators are 5088,1707
Denominators are 696,2140
The GCF of 5088,1707 is 3 .
LCM of 696,2140 is 372360.
The greatest common factor of 5088/696,1707/2140 = [GCF of 5088,1707]/[LCM of 696,2140]= 3/372360
Therefore, the GCF of 5088/696,1707/2140 is 3/372360.
To find the highest common factor of 5088,1707, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1707 are 1, 3, 569, 1707
The HCF of 5088,1707 is 3.
Lets's calculate GCF of 5088,1707
| 3 | 5088, 1707 |
| 1696, 569 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5088,1707 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1707
:1,3,569,1707
Greatest Common Factor
We found the factors 5088,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,1707 is 3.
Lets's calculate LCM of 696,2140
| 2 | 696, 2140 |
| 2 | 348, 1070 |
| 174, 535 |
∴ So the LCM of the given numbers is 2 x 2 x 174 x 535 = 372360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/372360
Therefore, the GCF of Fractions 5088/696,1707/2140 is 3/372360
Least Common Multiple of 696,2140 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 696,2140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,2140) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(696,2140) x common factors =4 x 1 = 4
LCM(696,2140) = ( 696 × 2140 ) / 4
LCM(696,2140) = 1489440 / 4
LCM(696,2140) = 372360
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FAQs on GCF of Fractions of 5088/696, 1707/2140
1. What is the HCF of 5088,1707?
The HCF of 5088,1707 is 3
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 5088/696, 1707/2140?
Answer: GCF of Numerators as per given numbers 5088/696, 1707/2140 is
GCF of Numerators i.e. for 5088,1707 is 3
LCM of denominators i.e. for 696,2140 is 372360.
Thus, GCF of Fractions is 3/372360.Finally, GCF of Fractions for 5088/696, 1707/2140 is 3/372360.