GCF of 742/606, 5088/837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 742/606, 5088/837 i.e 106/169074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/606, 5088/837.
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 742/606,5088/837?
Given fractions are 742/606,5088/837
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 742/606,5088/837, numerators are 742,5088
Denominators are 606,837
The GCF of 742,5088 is 106 .
LCM of 606,837 is 169074.
The greatest common factor of 742/606,5088/837 = [GCF of 742,5088]/[LCM of 606,837]= 106/169074
Therefore, the GCF of 742/606,5088/837 is 106/169074.
To find the highest common factor of 742,5088, we have to find the factors of both numbers and list the highest common factor.
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
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 742,5088 is 106.
Lets's calculate GCF of 742,5088
| 2 | 742, 5088 |
| 53 | 371, 2544 |
| 7, 48 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 742,5088 By Matching Biggest Common Factor Method
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
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 742,5088 . The biggest common factor number is the GCF number.
So the greatest common factor 742,5088 is 106.
Lets's calculate LCM of 606,837
| 3 | 606, 837 |
| 202, 279 |
∴ So the LCM of the given numbers is 3 x 202 x 279 = 169074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/169074
Therefore, the GCF of Fractions 742/606,5088/837 is 106/169074
Least Common Multiple of 606,837 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 606,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,837) x common factors =3 x 1 = 3
LCM(606,837) = ( 606 × 837 ) / 3
LCM(606,837) = 507222 / 3
LCM(606,837) = 169074
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FAQs on GCF of Fractions of 742/606, 5088/837
1. What is the HCF of 742,5088?
The HCF of 742,5088 is 106
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 742/606, 5088/837?
Answer: GCF of Numerators as per given numbers 742/606, 5088/837 is
GCF of Numerators i.e. for 742,5088 is 106
LCM of denominators i.e. for 606,837 is 169074.
Thus, GCF of Fractions is 106/169074.Finally, GCF of Fractions for 742/606, 5088/837 is 106/169074.