Highest Common Factor of 3257, 1429, 10523 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 3257, 1429, 10523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3257, 1429, 10523 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 3257, 1429, 10523 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 3257, 1429, 10523 is 1.
HCF(3257, 1429, 10523) = 1
HCF of 3257, 1429, 10523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3257, 1429, 10523 is 1.
Highest Common Factor of 3257,1429,10523 is 1
Step 1: Since 3257 > 1429, we apply the division lemma to 3257 and 1429, to get
3257 = 1429 x 2 + 399
Step 2: Since the reminder 1429 ≠ 0, we apply division lemma to 399 and 1429, to get
1429 = 399 x 3 + 232
Step 3: We consider the new divisor 399 and the new remainder 232, and apply the division lemma to get
399 = 232 x 1 + 167
We consider the new divisor 232 and the new remainder 167,and apply the division lemma to get
232 = 167 x 1 + 65
We consider the new divisor 167 and the new remainder 65,and apply the division lemma to get
167 = 65 x 2 + 37
We consider the new divisor 65 and the new remainder 37,and apply the division lemma to get
65 = 37 x 1 + 28
We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get
37 = 28 x 1 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3257 and 1429 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(65,37) = HCF(167,65) = HCF(232,167) = HCF(399,232) = HCF(1429,399) = HCF(3257,1429) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10523 > 1, we apply the division lemma to 10523 and 1, to get
10523 = 1 x 10523 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10523 is 1
Notice that 1 = HCF(10523,1) .
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Frequently Asked Questions on HCF of 3257, 1429, 10523 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 3257, 1429, 10523?
Answer: HCF of 3257, 1429, 10523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3257, 1429, 10523 using Euclid's Algorithm?
Answer: For arbitrary numbers 3257, 1429, 10523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
