GCF of 5202/564, 1778/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5202/564, 1778/141 i.e 2/564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5202/564, 1778/141.
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 5202/564,1778/141?
Given fractions are 5202/564,1778/141
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 5202/564,1778/141, numerators are 5202,1778
Denominators are 564,141
The GCF of 5202,1778 is 2 .
LCM of 564,141 is 564.
The greatest common factor of 5202/564,1778/141 = [GCF of 5202,1778]/[LCM of 564,141]= 2/564
Therefore, the GCF of 5202/564,1778/141 is 2/564.
To find the highest common factor of 5202,1778, we have to find the factors of both numbers and list the highest common factor.
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778
The HCF of 5202,1778 is 2.
Lets's calculate GCF of 5202,1778
| 2 | 5202, 1778 |
| 2601, 889 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5202,1778 By Matching Biggest Common Factor Method
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Now, list down the factors of 1778
:1,2,7,14,127,254,889,1778
Greatest Common Factor
We found the factors 5202,1778 . The biggest common factor number is the GCF number.
So the greatest common factor 5202,1778 is 2.
Lets's calculate LCM of 564,141
| 3 | 564, 141 |
| 47 | 188, 47 |
| 4, 1 |
∴ So the LCM of the given numbers is 3 x 47 x 4 x 1 = 564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/564
Therefore, the GCF of Fractions 5202/564,1778/141 is 2/564
Least Common Multiple of 564,141 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 564,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,141) = 141
common factors(in case of two or more numbers have common factors) = 1
GCF(564,141) x common factors =141 x 1 = 141
LCM(564,141) = ( 564 × 141 ) / 141
LCM(564,141) = 79524 / 141
LCM(564,141) = 564
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FAQs on GCF of Fractions of 5202/564, 1778/141
1. What is the HCF of 5202,1778?
The HCF of 5202,1778 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 5202/564, 1778/141?
Answer: GCF of Numerators as per given numbers 5202/564, 1778/141 is
GCF of Numerators i.e. for 5202,1778 is 2
LCM of denominators i.e. for 564,141 is 564.
Thus, GCF of Fractions is 2/564.Finally, GCF of Fractions for 5202/564, 1778/141 is 2/564.