Highest Common Factor of 3832, 8391, 25870 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, 8391, 25870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3832, 8391, 25870 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 3832, 8391, 25870 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, 8391, 25870 is 1.
HCF(3832, 8391, 25870) = 1
HCF of 3832, 8391, 25870 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, 8391, 25870 is 1.
Highest Common Factor of 3832,8391,25870 is 1
Step 1: Since 8391 > 3832, we apply the division lemma to 8391 and 3832, to get
8391 = 3832 x 2 + 727
Step 2: Since the reminder 3832 ≠ 0, we apply division lemma to 727 and 3832, to get
3832 = 727 x 5 + 197
Step 3: We consider the new divisor 727 and the new remainder 197, and apply the division lemma to get
727 = 197 x 3 + 136
We consider the new divisor 197 and the new remainder 136,and apply the division lemma to get
197 = 136 x 1 + 61
We consider the new divisor 136 and the new remainder 61,and apply the division lemma to get
136 = 61 x 2 + 14
We consider the new divisor 61 and the new remainder 14,and apply the division lemma to get
61 = 14 x 4 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 3832 and 8391 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(61,14) = HCF(136,61) = HCF(197,136) = HCF(727,197) = HCF(3832,727) = HCF(8391,3832) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25870 > 1, we apply the division lemma to 25870 and 1, to get
25870 = 1 x 25870 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25870 is 1
Notice that 1 = HCF(25870,1) .
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Frequently Asked Questions on HCF of 3832, 8391, 25870 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, 8391, 25870?
Answer: HCF of 3832, 8391, 25870 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3832, 8391, 25870 using Euclid's Algorithm?
Answer: For arbitrary numbers 3832, 8391, 25870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
