Highest Common Factor of 8122, 6934 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 8122, 6934 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8122, 6934 is 2 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 8122, 6934 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 8122, 6934 is 2.
HCF(8122, 6934) = 2
HCF of 8122, 6934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8122, 6934 is 2.
Highest Common Factor of 8122,6934 is 2
Step 1: Since 8122 > 6934, we apply the division lemma to 8122 and 6934, to get
8122 = 6934 x 1 + 1188
Step 2: Since the reminder 6934 ≠ 0, we apply division lemma to 1188 and 6934, to get
6934 = 1188 x 5 + 994
Step 3: We consider the new divisor 1188 and the new remainder 994, and apply the division lemma to get
1188 = 994 x 1 + 194
We consider the new divisor 994 and the new remainder 194,and apply the division lemma to get
994 = 194 x 5 + 24
We consider the new divisor 194 and the new remainder 24,and apply the division lemma to get
194 = 24 x 8 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8122 and 6934 is 2
Notice that 2 = HCF(24,2) = HCF(194,24) = HCF(994,194) = HCF(1188,994) = HCF(6934,1188) = HCF(8122,6934) .
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Frequently Asked Questions on HCF of 8122, 6934 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 8122, 6934?
Answer: HCF of 8122, 6934 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8122, 6934 using Euclid's Algorithm?
Answer: For arbitrary numbers 8122, 6934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.