GCF of 1360/742, 5046/5138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1360/742, 5046/5138 i.e 2/272314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1360/742, 5046/5138.
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 1360/742,5046/5138?
Given fractions are 1360/742,5046/5138
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 1360/742,5046/5138, numerators are 1360,5046
Denominators are 742,5138
The GCF of 1360,5046 is 2 .
LCM of 742,5138 is 272314.
The greatest common factor of 1360/742,5046/5138 = [GCF of 1360,5046]/[LCM of 742,5138]= 2/272314
Therefore, the GCF of 1360/742,5046/5138 is 2/272314.
To find the highest common factor of 1360,5046, we have to find the factors of both numbers and list the highest common factor.
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046
The HCF of 1360,5046 is 2.
Lets's calculate GCF of 1360,5046
| 2 | 1360, 5046 |
| 680, 2523 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1360,5046 By Matching Biggest Common Factor Method
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Now, list down the factors of 5046
:1,2,3,6,29,58,87,174,841,1682,2523,5046
Greatest Common Factor
We found the factors 1360,5046 . The biggest common factor number is the GCF number.
So the greatest common factor 1360,5046 is 2.
Lets's calculate LCM of 742,5138
| 2 | 742, 5138 |
| 7 | 371, 2569 |
| 53, 367 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 367 = 272314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272314
Therefore, the GCF of Fractions 1360/742,5046/5138 is 2/272314
Least Common Multiple of 742,5138 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 742,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,5138) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(742,5138) x common factors =14 x 1 = 14
LCM(742,5138) = ( 742 × 5138 ) / 14
LCM(742,5138) = 3812396 / 14
LCM(742,5138) = 272314
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FAQs on GCF of Fractions of 1360/742, 5046/5138
1. What is the HCF of 1360,5046?
The HCF of 1360,5046 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 1360/742, 5046/5138?
Answer: GCF of Numerators as per given numbers 1360/742, 5046/5138 is
GCF of Numerators i.e. for 1360,5046 is 2
LCM of denominators i.e. for 742,5138 is 272314.
Thus, GCF of Fractions is 2/272314.Finally, GCF of Fractions for 1360/742, 5046/5138 is 2/272314.