Highest Common Factor of 932, 2103 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 932, 2103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 2103 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 932, 2103 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 932, 2103 is 1.
HCF(932, 2103) = 1
HCF of 932, 2103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 2103 is 1.
Highest Common Factor of 932,2103 is 1
Step 1: Since 2103 > 932, we apply the division lemma to 2103 and 932, to get
2103 = 932 x 2 + 239
Step 2: Since the reminder 932 ≠ 0, we apply division lemma to 239 and 932, to get
932 = 239 x 3 + 215
Step 3: We consider the new divisor 239 and the new remainder 215, and apply the division lemma to get
239 = 215 x 1 + 24
We consider the new divisor 215 and the new remainder 24,and apply the division lemma to get
215 = 24 x 8 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 932 and 2103 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(215,24) = HCF(239,215) = HCF(932,239) = HCF(2103,932) .
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Frequently Asked Questions on HCF of 932, 2103 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 932, 2103?
Answer: HCF of 932, 2103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 2103 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 2103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.