Highest Common Factor of 4897, 6974, 64207 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 4897, 6974, 64207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4897, 6974, 64207 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 4897, 6974, 64207 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 4897, 6974, 64207 is 1.
HCF(4897, 6974, 64207) = 1
HCF of 4897, 6974, 64207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4897, 6974, 64207 is 1.
Highest Common Factor of 4897,6974,64207 is 1
Step 1: Since 6974 > 4897, we apply the division lemma to 6974 and 4897, to get
6974 = 4897 x 1 + 2077
Step 2: Since the reminder 4897 ≠ 0, we apply division lemma to 2077 and 4897, to get
4897 = 2077 x 2 + 743
Step 3: We consider the new divisor 2077 and the new remainder 743, and apply the division lemma to get
2077 = 743 x 2 + 591
We consider the new divisor 743 and the new remainder 591,and apply the division lemma to get
743 = 591 x 1 + 152
We consider the new divisor 591 and the new remainder 152,and apply the division lemma to get
591 = 152 x 3 + 135
We consider the new divisor 152 and the new remainder 135,and apply the division lemma to get
152 = 135 x 1 + 17
We consider the new divisor 135 and the new remainder 17,and apply the division lemma to get
135 = 17 x 7 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4897 and 6974 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(135,17) = HCF(152,135) = HCF(591,152) = HCF(743,591) = HCF(2077,743) = HCF(4897,2077) = HCF(6974,4897) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64207 > 1, we apply the division lemma to 64207 and 1, to get
64207 = 1 x 64207 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64207 is 1
Notice that 1 = HCF(64207,1) .
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Frequently Asked Questions on HCF of 4897, 6974, 64207 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 4897, 6974, 64207?
Answer: HCF of 4897, 6974, 64207 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4897, 6974, 64207 using Euclid's Algorithm?
Answer: For arbitrary numbers 4897, 6974, 64207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.