Highest Common Factor of 931, 336, 269 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 931, 336, 269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 336, 269 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 931, 336, 269 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 931, 336, 269 is 1.
HCF(931, 336, 269) = 1
HCF of 931, 336, 269 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 336, 269 is 1.
Highest Common Factor of 931,336,269 is 1
Step 1: Since 931 > 336, we apply the division lemma to 931 and 336, to get
931 = 336 x 2 + 259
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 259 and 336, to get
336 = 259 x 1 + 77
Step 3: We consider the new divisor 259 and the new remainder 77, and apply the division lemma to get
259 = 77 x 3 + 28
We consider the new divisor 77 and the new remainder 28,and apply the division lemma to get
77 = 28 x 2 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 931 and 336 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(77,28) = HCF(259,77) = HCF(336,259) = HCF(931,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 269 > 7, we apply the division lemma to 269 and 7, to get
269 = 7 x 38 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 269 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(269,7) .
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Frequently Asked Questions on HCF of 931, 336, 269 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 931, 336, 269?
Answer: HCF of 931, 336, 269 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 336, 269 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 336, 269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.