Highest Common Factor of 923, 354, 932 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 923, 354, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 354, 932 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 923, 354, 932 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 923, 354, 932 is 1.
HCF(923, 354, 932) = 1
HCF of 923, 354, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 354, 932 is 1.
Highest Common Factor of 923,354,932 is 1
Step 1: Since 923 > 354, we apply the division lemma to 923 and 354, to get
923 = 354 x 2 + 215
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 215 and 354, to get
354 = 215 x 1 + 139
Step 3: We consider the new divisor 215 and the new remainder 139, and apply the division lemma to get
215 = 139 x 1 + 76
We consider the new divisor 139 and the new remainder 76,and apply the division lemma to get
139 = 76 x 1 + 63
We consider the new divisor 76 and the new remainder 63,and apply the division lemma to get
76 = 63 x 1 + 13
We consider the new divisor 63 and the new remainder 13,and apply the division lemma to get
63 = 13 x 4 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 923 and 354 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(63,13) = HCF(76,63) = HCF(139,76) = HCF(215,139) = HCF(354,215) = HCF(923,354) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 932 > 1, we apply the division lemma to 932 and 1, to get
932 = 1 x 932 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 932 is 1
Notice that 1 = HCF(932,1) .
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Frequently Asked Questions on HCF of 923, 354, 932 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 923, 354, 932?
Answer: HCF of 923, 354, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 354, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 354, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.