GCF of 5469/716, 8736/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5469/716, 8736/354 i.e 3/126732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5469/716, 8736/354.
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 5469/716,8736/354?
Given fractions are 5469/716,8736/354
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 5469/716,8736/354, numerators are 5469,8736
Denominators are 716,354
The GCF of 5469,8736 is 3 .
LCM of 716,354 is 126732.
The greatest common factor of 5469/716,8736/354 = [GCF of 5469,8736]/[LCM of 716,354]= 3/126732
Therefore, the GCF of 5469/716,8736/354 is 3/126732.
To find the highest common factor of 5469,8736, we have to find the factors of both numbers and list the highest common factor.
The factors of 5469 are 1, 3, 1823, 5469
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736
The HCF of 5469,8736 is 3.
Lets's calculate GCF of 5469,8736
| 3 | 5469, 8736 |
| 1823, 2912 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5469,8736 By Matching Biggest Common Factor Method
Now, list down the factors of 5469
:1,3,1823,5469
Now, list down the factors of 8736
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Greatest Common Factor
We found the factors 5469,8736 . The biggest common factor number is the GCF number.
So the greatest common factor 5469,8736 is 3.
Lets's calculate LCM of 716,354
| 2 | 716, 354 |
| 358, 177 |
∴ So the LCM of the given numbers is 2 x 358 x 177 = 126732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126732
Therefore, the GCF of Fractions 5469/716,8736/354 is 3/126732
Least Common Multiple of 716,354 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 716,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,354) x common factors =2 x 1 = 2
LCM(716,354) = ( 716 × 354 ) / 2
LCM(716,354) = 253464 / 2
LCM(716,354) = 126732
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FAQs on GCF of Fractions of 5469/716, 8736/354
1. What is the HCF of 5469,8736?
The HCF of 5469,8736 is 3
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 5469/716, 8736/354?
Answer: GCF of Numerators as per given numbers 5469/716, 8736/354 is
GCF of Numerators i.e. for 5469,8736 is 3
LCM of denominators i.e. for 716,354 is 126732.
Thus, GCF of Fractions is 3/126732.Finally, GCF of Fractions for 5469/716, 8736/354 is 3/126732.