Highest Common Factor of 4958, 6397 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 4958, 6397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4958, 6397 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 4958, 6397 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 4958, 6397 is 1.
HCF(4958, 6397) = 1
HCF of 4958, 6397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4958, 6397 is 1.
Highest Common Factor of 4958,6397 is 1
Step 1: Since 6397 > 4958, we apply the division lemma to 6397 and 4958, to get
6397 = 4958 x 1 + 1439
Step 2: Since the reminder 4958 ≠ 0, we apply division lemma to 1439 and 4958, to get
4958 = 1439 x 3 + 641
Step 3: We consider the new divisor 1439 and the new remainder 641, and apply the division lemma to get
1439 = 641 x 2 + 157
We consider the new divisor 641 and the new remainder 157,and apply the division lemma to get
641 = 157 x 4 + 13
We consider the new divisor 157 and the new remainder 13,and apply the division lemma to get
157 = 13 x 12 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4958 and 6397 is 1
Notice that 1 = HCF(13,1) = HCF(157,13) = HCF(641,157) = HCF(1439,641) = HCF(4958,1439) = HCF(6397,4958) .
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Frequently Asked Questions on HCF of 4958, 6397 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 4958, 6397?
Answer: HCF of 4958, 6397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4958, 6397 using Euclid's Algorithm?
Answer: For arbitrary numbers 4958, 6397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.