Highest Common Factor of 3832, 890 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 3832, 890 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3832, 890 is 2 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 3832, 890 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 3832, 890 is 2.
HCF(3832, 890) = 2
HCF of 3832, 890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3832, 890 is 2.
Highest Common Factor of 3832,890 is 2
Step 1: Since 3832 > 890, we apply the division lemma to 3832 and 890, to get
3832 = 890 x 4 + 272
Step 2: Since the reminder 890 ≠ 0, we apply division lemma to 272 and 890, to get
890 = 272 x 3 + 74
Step 3: We consider the new divisor 272 and the new remainder 74, and apply the division lemma to get
272 = 74 x 3 + 50
We consider the new divisor 74 and the new remainder 50,and apply the division lemma to get
74 = 50 x 1 + 24
We consider the new divisor 50 and the new remainder 24,and apply the division lemma to get
50 = 24 x 2 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3832 and 890 is 2
Notice that 2 = HCF(24,2) = HCF(50,24) = HCF(74,50) = HCF(272,74) = HCF(890,272) = HCF(3832,890) .
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Frequently Asked Questions on HCF of 3832, 890 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 3832, 890?
Answer: HCF of 3832, 890 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3832, 890 using Euclid's Algorithm?
Answer: For arbitrary numbers 3832, 890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.