Highest Common Factor of 3882, 1235 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 3882, 1235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3882, 1235 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 3882, 1235 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 3882, 1235 is 1.
HCF(3882, 1235) = 1
HCF of 3882, 1235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3882, 1235 is 1.
Highest Common Factor of 3882,1235 is 1
Step 1: Since 3882 > 1235, we apply the division lemma to 3882 and 1235, to get
3882 = 1235 x 3 + 177
Step 2: Since the reminder 1235 ≠ 0, we apply division lemma to 177 and 1235, to get
1235 = 177 x 6 + 173
Step 3: We consider the new divisor 177 and the new remainder 173, and apply the division lemma to get
177 = 173 x 1 + 4
We consider the new divisor 173 and the new remainder 4,and apply the division lemma to get
173 = 4 x 43 + 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 3882 and 1235 is 1
Notice that 1 = HCF(4,1) = HCF(173,4) = HCF(177,173) = HCF(1235,177) = HCF(3882,1235) .
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Frequently Asked Questions on HCF of 3882, 1235 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 3882, 1235?
Answer: HCF of 3882, 1235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3882, 1235 using Euclid's Algorithm?
Answer: For arbitrary numbers 3882, 1235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.