Highest Common Factor of 3610, 6777 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 3610, 6777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3610, 6777 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 3610, 6777 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 3610, 6777 is 1.
HCF(3610, 6777) = 1
HCF of 3610, 6777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3610, 6777 is 1.
Highest Common Factor of 3610,6777 is 1
Step 1: Since 6777 > 3610, we apply the division lemma to 6777 and 3610, to get
6777 = 3610 x 1 + 3167
Step 2: Since the reminder 3610 ≠ 0, we apply division lemma to 3167 and 3610, to get
3610 = 3167 x 1 + 443
Step 3: We consider the new divisor 3167 and the new remainder 443, and apply the division lemma to get
3167 = 443 x 7 + 66
We consider the new divisor 443 and the new remainder 66,and apply the division lemma to get
443 = 66 x 6 + 47
We consider the new divisor 66 and the new remainder 47,and apply the division lemma to get
66 = 47 x 1 + 19
We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get
47 = 19 x 2 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3610 and 6777 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(66,47) = HCF(443,66) = HCF(3167,443) = HCF(3610,3167) = HCF(6777,3610) .
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Frequently Asked Questions on HCF of 3610, 6777 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 3610, 6777?
Answer: HCF of 3610, 6777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3610, 6777 using Euclid's Algorithm?
Answer: For arbitrary numbers 3610, 6777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.