GCF of 1173/688, 8736/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1173/688, 8736/169 i.e 3/116272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1173/688, 8736/169.
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 1173/688,8736/169?
Given fractions are 1173/688,8736/169
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 1173/688,8736/169, numerators are 1173,8736
Denominators are 688,169
The GCF of 1173,8736 is 3 .
LCM of 688,169 is 116272.
The greatest common factor of 1173/688,8736/169 = [GCF of 1173,8736]/[LCM of 688,169]= 3/116272
Therefore, the GCF of 1173/688,8736/169 is 3/116272.
To find the highest common factor of 1173,8736, we have to find the factors of both numbers and list the highest common factor.
The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173
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 1173,8736 is 3.
Lets's calculate GCF of 1173,8736
| 3 | 1173, 8736 |
| 391, 2912 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1173,8736 By Matching Biggest Common Factor Method
Now, list down the factors of 1173
:1,3,17,23,51,69,391,1173
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 1173,8736 . The biggest common factor number is the GCF number.
So the greatest common factor 1173,8736 is 3.
Lets's calculate LCM of 688,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 116272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/116272
Therefore, the GCF of Fractions 1173/688,8736/169 is 3/116272
Least Common Multiple of 688,169 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 688,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,169) x common factors =1 x 1 = 1
LCM(688,169) = ( 688 × 169 ) / 1
LCM(688,169) = 116272 / 1
LCM(688,169) = 116272
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FAQs on GCF of Fractions of 1173/688, 8736/169
1. What is the HCF of 1173,8736?
The HCF of 1173,8736 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 1173/688, 8736/169?
Answer: GCF of Numerators as per given numbers 1173/688, 8736/169 is
GCF of Numerators i.e. for 1173,8736 is 3
LCM of denominators i.e. for 688,169 is 116272.
Thus, GCF of Fractions is 3/116272.Finally, GCF of Fractions for 1173/688, 8736/169 is 3/116272.