Highest Common Factor of 4501, 4459, 97649 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 4501, 4459, 97649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4501, 4459, 97649 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 4501, 4459, 97649 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 4501, 4459, 97649 is 1.
HCF(4501, 4459, 97649) = 1
HCF of 4501, 4459, 97649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4501, 4459, 97649 is 1.
Highest Common Factor of 4501,4459,97649 is 1
Step 1: Since 4501 > 4459, we apply the division lemma to 4501 and 4459, to get
4501 = 4459 x 1 + 42
Step 2: Since the reminder 4459 ≠ 0, we apply division lemma to 42 and 4459, to get
4459 = 42 x 106 + 7
Step 3: We consider the new divisor 42 and the new remainder 7, and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4501 and 4459 is 7
Notice that 7 = HCF(42,7) = HCF(4459,42) = HCF(4501,4459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97649 > 7, we apply the division lemma to 97649 and 7, to get
97649 = 7 x 13949 + 6
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get
7 = 6 x 1 + 1
Step 3: We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 97649 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(97649,7) .
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Frequently Asked Questions on HCF of 4501, 4459, 97649 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 4501, 4459, 97649?
Answer: HCF of 4501, 4459, 97649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4501, 4459, 97649 using Euclid's Algorithm?
Answer: For arbitrary numbers 4501, 4459, 97649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.