Highest Common Factor of 1932, 8723 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 1932, 8723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1932, 8723 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 1932, 8723 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 1932, 8723 is 1.
HCF(1932, 8723) = 1
HCF of 1932, 8723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1932, 8723 is 1.
Highest Common Factor of 1932,8723 is 1
Step 1: Since 8723 > 1932, we apply the division lemma to 8723 and 1932, to get
8723 = 1932 x 4 + 995
Step 2: Since the reminder 1932 ≠ 0, we apply division lemma to 995 and 1932, to get
1932 = 995 x 1 + 937
Step 3: We consider the new divisor 995 and the new remainder 937, and apply the division lemma to get
995 = 937 x 1 + 58
We consider the new divisor 937 and the new remainder 58,and apply the division lemma to get
937 = 58 x 16 + 9
We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get
58 = 9 x 6 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1932 and 8723 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(937,58) = HCF(995,937) = HCF(1932,995) = HCF(8723,1932) .
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Frequently Asked Questions on HCF of 1932, 8723 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 1932, 8723?
Answer: HCF of 1932, 8723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1932, 8723 using Euclid's Algorithm?
Answer: For arbitrary numbers 1932, 8723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.