Highest Common Factor of 6701, 4730 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 6701, 4730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6701, 4730 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 6701, 4730 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 6701, 4730 is 1.
HCF(6701, 4730) = 1
HCF of 6701, 4730 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6701, 4730 is 1.
Highest Common Factor of 6701,4730 is 1
Step 1: Since 6701 > 4730, we apply the division lemma to 6701 and 4730, to get
6701 = 4730 x 1 + 1971
Step 2: Since the reminder 4730 ≠ 0, we apply division lemma to 1971 and 4730, to get
4730 = 1971 x 2 + 788
Step 3: We consider the new divisor 1971 and the new remainder 788, and apply the division lemma to get
1971 = 788 x 2 + 395
We consider the new divisor 788 and the new remainder 395,and apply the division lemma to get
788 = 395 x 1 + 393
We consider the new divisor 395 and the new remainder 393,and apply the division lemma to get
395 = 393 x 1 + 2
We consider the new divisor 393 and the new remainder 2,and apply the division lemma to get
393 = 2 x 196 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6701 and 4730 is 1
Notice that 1 = HCF(2,1) = HCF(393,2) = HCF(395,393) = HCF(788,395) = HCF(1971,788) = HCF(4730,1971) = HCF(6701,4730) .
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Frequently Asked Questions on HCF of 6701, 4730 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 6701, 4730?
Answer: HCF of 6701, 4730 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6701, 4730 using Euclid's Algorithm?
Answer: For arbitrary numbers 6701, 4730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.