Highest Common Factor of 3893, 6979 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 3893, 6979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3893, 6979 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 3893, 6979 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 3893, 6979 is 1.
HCF(3893, 6979) = 1
HCF of 3893, 6979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3893, 6979 is 1.
Highest Common Factor of 3893,6979 is 1
Step 1: Since 6979 > 3893, we apply the division lemma to 6979 and 3893, to get
6979 = 3893 x 1 + 3086
Step 2: Since the reminder 3893 ≠ 0, we apply division lemma to 3086 and 3893, to get
3893 = 3086 x 1 + 807
Step 3: We consider the new divisor 3086 and the new remainder 807, and apply the division lemma to get
3086 = 807 x 3 + 665
We consider the new divisor 807 and the new remainder 665,and apply the division lemma to get
807 = 665 x 1 + 142
We consider the new divisor 665 and the new remainder 142,and apply the division lemma to get
665 = 142 x 4 + 97
We consider the new divisor 142 and the new remainder 97,and apply the division lemma to get
142 = 97 x 1 + 45
We consider the new divisor 97 and the new remainder 45,and apply the division lemma to get
97 = 45 x 2 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3893 and 6979 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(97,45) = HCF(142,97) = HCF(665,142) = HCF(807,665) = HCF(3086,807) = HCF(3893,3086) = HCF(6979,3893) .
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Frequently Asked Questions on HCF of 3893, 6979 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 3893, 6979?
Answer: HCF of 3893, 6979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3893, 6979 using Euclid's Algorithm?
Answer: For arbitrary numbers 3893, 6979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.