Highest Common Factor of 6698, 5632 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 6698, 5632 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6698, 5632 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 6698, 5632 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 6698, 5632 is 2.
HCF(6698, 5632) = 2
HCF of 6698, 5632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6698, 5632 is 2.
Highest Common Factor of 6698,5632 is 2
Step 1: Since 6698 > 5632, we apply the division lemma to 6698 and 5632, to get
6698 = 5632 x 1 + 1066
Step 2: Since the reminder 5632 ≠ 0, we apply division lemma to 1066 and 5632, to get
5632 = 1066 x 5 + 302
Step 3: We consider the new divisor 1066 and the new remainder 302, and apply the division lemma to get
1066 = 302 x 3 + 160
We consider the new divisor 302 and the new remainder 160,and apply the division lemma to get
302 = 160 x 1 + 142
We consider the new divisor 160 and the new remainder 142,and apply the division lemma to get
160 = 142 x 1 + 18
We consider the new divisor 142 and the new remainder 18,and apply the division lemma to get
142 = 18 x 7 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6698 and 5632 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(142,18) = HCF(160,142) = HCF(302,160) = HCF(1066,302) = HCF(5632,1066) = HCF(6698,5632) .
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Frequently Asked Questions on HCF of 6698, 5632 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 6698, 5632?
Answer: HCF of 6698, 5632 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6698, 5632 using Euclid's Algorithm?
Answer: For arbitrary numbers 6698, 5632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.