Highest Common Factor of 7976, 6833 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 7976, 6833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7976, 6833 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 7976, 6833 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 7976, 6833 is 1.
HCF(7976, 6833) = 1
HCF of 7976, 6833 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7976, 6833 is 1.
Highest Common Factor of 7976,6833 is 1
Step 1: Since 7976 > 6833, we apply the division lemma to 7976 and 6833, to get
7976 = 6833 x 1 + 1143
Step 2: Since the reminder 6833 ≠ 0, we apply division lemma to 1143 and 6833, to get
6833 = 1143 x 5 + 1118
Step 3: We consider the new divisor 1143 and the new remainder 1118, and apply the division lemma to get
1143 = 1118 x 1 + 25
We consider the new divisor 1118 and the new remainder 25,and apply the division lemma to get
1118 = 25 x 44 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 7976 and 6833 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(1118,25) = HCF(1143,1118) = HCF(6833,1143) = HCF(7976,6833) .
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Frequently Asked Questions on HCF of 7976, 6833 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 7976, 6833?
Answer: HCF of 7976, 6833 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7976, 6833 using Euclid's Algorithm?
Answer: For arbitrary numbers 7976, 6833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
