Highest Common Factor of 7051, 6782 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 7051, 6782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7051, 6782 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 7051, 6782 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 7051, 6782 is 1.
HCF(7051, 6782) = 1
HCF of 7051, 6782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7051, 6782 is 1.
Highest Common Factor of 7051,6782 is 1
Step 1: Since 7051 > 6782, we apply the division lemma to 7051 and 6782, to get
7051 = 6782 x 1 + 269
Step 2: Since the reminder 6782 ≠ 0, we apply division lemma to 269 and 6782, to get
6782 = 269 x 25 + 57
Step 3: We consider the new divisor 269 and the new remainder 57, and apply the division lemma to get
269 = 57 x 4 + 41
We consider the new divisor 57 and the new remainder 41,and apply the division lemma to get
57 = 41 x 1 + 16
We consider the new divisor 41 and the new remainder 16,and apply the division lemma to get
41 = 16 x 2 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7051 and 6782 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(41,16) = HCF(57,41) = HCF(269,57) = HCF(6782,269) = HCF(7051,6782) .
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Frequently Asked Questions on HCF of 7051, 6782 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 7051, 6782?
Answer: HCF of 7051, 6782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7051, 6782 using Euclid's Algorithm?
Answer: For arbitrary numbers 7051, 6782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
