GCF of 1688/867, 2872/7518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1688/867, 2872/7518 i.e 8/2172702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1688/867, 2872/7518.
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 1688/867,2872/7518?
Given fractions are 1688/867,2872/7518
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 1688/867,2872/7518, numerators are 1688,2872
Denominators are 867,7518
The GCF of 1688,2872 is 8 .
LCM of 867,7518 is 2172702.
The greatest common factor of 1688/867,2872/7518 = [GCF of 1688,2872]/[LCM of 867,7518]= 8/2172702
Therefore, the GCF of 1688/867,2872/7518 is 8/2172702.
To find the highest common factor of 1688,2872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688
The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872
The HCF of 1688,2872 is 8.
Lets's calculate GCF of 1688,2872
| 2 | 1688, 2872 |
| 2 | 844, 1436 |
| 2 | 422, 718 |
| 211, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1688,2872 By Matching Biggest Common Factor Method
Now, list down the factors of 1688
:1,2,4,8,211,422,844,1688
Now, list down the factors of 2872
:1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors 1688,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 1688,2872 is 8.
Lets's calculate LCM of 867,7518
| 3 | 867, 7518 |
| 289, 2506 |
∴ So the LCM of the given numbers is 3 x 289 x 2506 = 2172702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2172702
Therefore, the GCF of Fractions 1688/867,2872/7518 is 8/2172702
Least Common Multiple of 867,7518 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 867,7518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7518) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7518) x common factors =3 x 1 = 3
LCM(867,7518) = ( 867 × 7518 ) / 3
LCM(867,7518) = 6518106 / 3
LCM(867,7518) = 2172702
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FAQs on GCF of Fractions of 1688/867, 2872/7518
1. What is the HCF of 1688,2872?
The HCF of 1688,2872 is 8
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 1688/867, 2872/7518?
Answer: GCF of Numerators as per given numbers 1688/867, 2872/7518 is
GCF of Numerators i.e. for 1688,2872 is 8
LCM of denominators i.e. for 867,7518 is 2172702.
Thus, GCF of Fractions is 8/2172702.Finally, GCF of Fractions for 1688/867, 2872/7518 is 8/2172702.