Highest Common Factor of 3917, 6826 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 3917, 6826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3917, 6826 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 3917, 6826 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 3917, 6826 is 1.
HCF(3917, 6826) = 1
HCF of 3917, 6826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3917, 6826 is 1.
Highest Common Factor of 3917,6826 is 1
Step 1: Since 6826 > 3917, we apply the division lemma to 6826 and 3917, to get
6826 = 3917 x 1 + 2909
Step 2: Since the reminder 3917 ≠ 0, we apply division lemma to 2909 and 3917, to get
3917 = 2909 x 1 + 1008
Step 3: We consider the new divisor 2909 and the new remainder 1008, and apply the division lemma to get
2909 = 1008 x 2 + 893
We consider the new divisor 1008 and the new remainder 893,and apply the division lemma to get
1008 = 893 x 1 + 115
We consider the new divisor 893 and the new remainder 115,and apply the division lemma to get
893 = 115 x 7 + 88
We consider the new divisor 115 and the new remainder 88,and apply the division lemma to get
115 = 88 x 1 + 27
We consider the new divisor 88 and the new remainder 27,and apply the division lemma to get
88 = 27 x 3 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3917 and 6826 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(88,27) = HCF(115,88) = HCF(893,115) = HCF(1008,893) = HCF(2909,1008) = HCF(3917,2909) = HCF(6826,3917) .
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Frequently Asked Questions on HCF of 3917, 6826 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 3917, 6826?
Answer: HCF of 3917, 6826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3917, 6826 using Euclid's Algorithm?
Answer: For arbitrary numbers 3917, 6826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
