Highest Common Factor of 4654, 6698 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 4654, 6698 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4654, 6698 is 2 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 4654, 6698 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 4654, 6698 is 2.
HCF(4654, 6698) = 2
HCF of 4654, 6698 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4654, 6698 is 2.
Highest Common Factor of 4654,6698 is 2
Step 1: Since 6698 > 4654, we apply the division lemma to 6698 and 4654, to get
6698 = 4654 x 1 + 2044
Step 2: Since the reminder 4654 ≠ 0, we apply division lemma to 2044 and 4654, to get
4654 = 2044 x 2 + 566
Step 3: We consider the new divisor 2044 and the new remainder 566, and apply the division lemma to get
2044 = 566 x 3 + 346
We consider the new divisor 566 and the new remainder 346,and apply the division lemma to get
566 = 346 x 1 + 220
We consider the new divisor 346 and the new remainder 220,and apply the division lemma to get
346 = 220 x 1 + 126
We consider the new divisor 220 and the new remainder 126,and apply the division lemma to get
220 = 126 x 1 + 94
We consider the new divisor 126 and the new remainder 94,and apply the division lemma to get
126 = 94 x 1 + 32
We consider the new divisor 94 and the new remainder 32,and apply the division lemma to get
94 = 32 x 2 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4654 and 6698 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(94,32) = HCF(126,94) = HCF(220,126) = HCF(346,220) = HCF(566,346) = HCF(2044,566) = HCF(4654,2044) = HCF(6698,4654) .
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Frequently Asked Questions on HCF of 4654, 6698 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 4654, 6698?
Answer: HCF of 4654, 6698 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4654, 6698 using Euclid's Algorithm?
Answer: For arbitrary numbers 4654, 6698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
