Highest Common Factor of 4600, 7391 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 4600, 7391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4600, 7391 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 4600, 7391 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 4600, 7391 is 1.
HCF(4600, 7391) = 1
HCF of 4600, 7391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4600, 7391 is 1.
Highest Common Factor of 4600,7391 is 1
Step 1: Since 7391 > 4600, we apply the division lemma to 7391 and 4600, to get
7391 = 4600 x 1 + 2791
Step 2: Since the reminder 4600 ≠ 0, we apply division lemma to 2791 and 4600, to get
4600 = 2791 x 1 + 1809
Step 3: We consider the new divisor 2791 and the new remainder 1809, and apply the division lemma to get
2791 = 1809 x 1 + 982
We consider the new divisor 1809 and the new remainder 982,and apply the division lemma to get
1809 = 982 x 1 + 827
We consider the new divisor 982 and the new remainder 827,and apply the division lemma to get
982 = 827 x 1 + 155
We consider the new divisor 827 and the new remainder 155,and apply the division lemma to get
827 = 155 x 5 + 52
We consider the new divisor 155 and the new remainder 52,and apply the division lemma to get
155 = 52 x 2 + 51
We consider the new divisor 52 and the new remainder 51,and apply the division lemma to get
52 = 51 x 1 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4600 and 7391 is 1
Notice that 1 = HCF(51,1) = HCF(52,51) = HCF(155,52) = HCF(827,155) = HCF(982,827) = HCF(1809,982) = HCF(2791,1809) = HCF(4600,2791) = HCF(7391,4600) .
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Frequently Asked Questions on HCF of 4600, 7391 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 4600, 7391?
Answer: HCF of 4600, 7391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4600, 7391 using Euclid's Algorithm?
Answer: For arbitrary numbers 4600, 7391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.