Highest Common Factor of 3857, 2632, 86696 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 3857, 2632, 86696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3857, 2632, 86696 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 3857, 2632, 86696 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 3857, 2632, 86696 is 1.
HCF(3857, 2632, 86696) = 1
HCF of 3857, 2632, 86696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3857, 2632, 86696 is 1.
Highest Common Factor of 3857,2632,86696 is 1
Step 1: Since 3857 > 2632, we apply the division lemma to 3857 and 2632, to get
3857 = 2632 x 1 + 1225
Step 2: Since the reminder 2632 ≠ 0, we apply division lemma to 1225 and 2632, to get
2632 = 1225 x 2 + 182
Step 3: We consider the new divisor 1225 and the new remainder 182, and apply the division lemma to get
1225 = 182 x 6 + 133
We consider the new divisor 182 and the new remainder 133,and apply the division lemma to get
182 = 133 x 1 + 49
We consider the new divisor 133 and the new remainder 49,and apply the division lemma to get
133 = 49 x 2 + 35
We consider the new divisor 49 and the new remainder 35,and apply the division lemma to get
49 = 35 x 1 + 14
We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get
35 = 14 x 2 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3857 and 2632 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(49,35) = HCF(133,49) = HCF(182,133) = HCF(1225,182) = HCF(2632,1225) = HCF(3857,2632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86696 > 7, we apply the division lemma to 86696 and 7, to get
86696 = 7 x 12385 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 86696 is 1
Notice that 1 = HCF(7,1) = HCF(86696,7) .
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Frequently Asked Questions on HCF of 3857, 2632, 86696 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 3857, 2632, 86696?
Answer: HCF of 3857, 2632, 86696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3857, 2632, 86696 using Euclid's Algorithm?
Answer: For arbitrary numbers 3857, 2632, 86696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.