Highest Common Factor of 4746, 8393 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 4746, 8393 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4746, 8393 is 7 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 4746, 8393 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 4746, 8393 is 7.
HCF(4746, 8393) = 7
HCF of 4746, 8393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4746, 8393 is 7.
Highest Common Factor of 4746,8393 is 7
Step 1: Since 8393 > 4746, we apply the division lemma to 8393 and 4746, to get
8393 = 4746 x 1 + 3647
Step 2: Since the reminder 4746 ≠ 0, we apply division lemma to 3647 and 4746, to get
4746 = 3647 x 1 + 1099
Step 3: We consider the new divisor 3647 and the new remainder 1099, and apply the division lemma to get
3647 = 1099 x 3 + 350
We consider the new divisor 1099 and the new remainder 350,and apply the division lemma to get
1099 = 350 x 3 + 49
We consider the new divisor 350 and the new remainder 49,and apply the division lemma to get
350 = 49 x 7 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4746 and 8393 is 7
Notice that 7 = HCF(49,7) = HCF(350,49) = HCF(1099,350) = HCF(3647,1099) = HCF(4746,3647) = HCF(8393,4746) .
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Frequently Asked Questions on HCF of 4746, 8393 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 4746, 8393?
Answer: HCF of 4746, 8393 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4746, 8393 using Euclid's Algorithm?
Answer: For arbitrary numbers 4746, 8393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.