Highest Common Factor of 1840, 9130, 53831 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 1840, 9130, 53831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1840, 9130, 53831 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 1840, 9130, 53831 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 1840, 9130, 53831 is 1.
HCF(1840, 9130, 53831) = 1
HCF of 1840, 9130, 53831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1840, 9130, 53831 is 1.
Highest Common Factor of 1840,9130,53831 is 1
Step 1: Since 9130 > 1840, we apply the division lemma to 9130 and 1840, to get
9130 = 1840 x 4 + 1770
Step 2: Since the reminder 1840 ≠ 0, we apply division lemma to 1770 and 1840, to get
1840 = 1770 x 1 + 70
Step 3: We consider the new divisor 1770 and the new remainder 70, and apply the division lemma to get
1770 = 70 x 25 + 20
We consider the new divisor 70 and the new remainder 20,and apply the division lemma to get
70 = 20 x 3 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 1840 and 9130 is 10
Notice that 10 = HCF(20,10) = HCF(70,20) = HCF(1770,70) = HCF(1840,1770) = HCF(9130,1840) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53831 > 10, we apply the division lemma to 53831 and 10, to get
53831 = 10 x 5383 + 1
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 1 and 10, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 53831 is 1
Notice that 1 = HCF(10,1) = HCF(53831,10) .
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Frequently Asked Questions on HCF of 1840, 9130, 53831 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 1840, 9130, 53831?
Answer: HCF of 1840, 9130, 53831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1840, 9130, 53831 using Euclid's Algorithm?
Answer: For arbitrary numbers 1840, 9130, 53831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.