GCF of 4557/740, 5369/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4557/740, 5369/890 i.e 7/65860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4557/740, 5369/890.
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 4557/740,5369/890?
Given fractions are 4557/740,5369/890
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 4557/740,5369/890, numerators are 4557,5369
Denominators are 740,890
The GCF of 4557,5369 is 7 .
LCM of 740,890 is 65860.
The greatest common factor of 4557/740,5369/890 = [GCF of 4557,5369]/[LCM of 740,890]= 7/65860
Therefore, the GCF of 4557/740,5369/890 is 7/65860.
To find the highest common factor of 4557,5369, we have to find the factors of both numbers and list the highest common factor.
The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The factors of 5369 are 1, 7, 13, 59, 91, 413, 767, 5369
The HCF of 4557,5369 is 7.
Lets's calculate GCF of 4557,5369
| 7 | 4557, 5369 |
| 651, 767 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4557,5369 By Matching Biggest Common Factor Method
Now, list down the factors of 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Now, list down the factors of 5369
:1,7,13,59,91,413,767,5369
Greatest Common Factor
We found the factors 4557,5369 . The biggest common factor number is the GCF number.
So the greatest common factor 4557,5369 is 7.
Lets's calculate LCM of 740,890
| 2 | 740, 890 |
| 5 | 370, 445 |
| 74, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 74 x 89 = 65860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/65860
Therefore, the GCF of Fractions 4557/740,5369/890 is 7/65860
Least Common Multiple of 740,890 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 740,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(740,890) x common factors =10 x 1 = 10
LCM(740,890) = ( 740 × 890 ) / 10
LCM(740,890) = 658600 / 10
LCM(740,890) = 65860
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FAQs on GCF of Fractions of 4557/740, 5369/890
1. What is the HCF of 4557,5369?
The HCF of 4557,5369 is 7
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 4557/740, 5369/890?
Answer: GCF of Numerators as per given numbers 4557/740, 5369/890 is
GCF of Numerators i.e. for 4557,5369 is 7
LCM of denominators i.e. for 740,890 is 65860.
Thus, GCF of Fractions is 7/65860.Finally, GCF of Fractions for 4557/740, 5369/890 is 7/65860.