Highest Common Factor of 8078, 3426 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 8078, 3426 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8078, 3426 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 8078, 3426 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 8078, 3426 is 2.
HCF(8078, 3426) = 2
HCF of 8078, 3426 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8078, 3426 is 2.
Highest Common Factor of 8078,3426 is 2
Step 1: Since 8078 > 3426, we apply the division lemma to 8078 and 3426, to get
8078 = 3426 x 2 + 1226
Step 2: Since the reminder 3426 ≠ 0, we apply division lemma to 1226 and 3426, to get
3426 = 1226 x 2 + 974
Step 3: We consider the new divisor 1226 and the new remainder 974, and apply the division lemma to get
1226 = 974 x 1 + 252
We consider the new divisor 974 and the new remainder 252,and apply the division lemma to get
974 = 252 x 3 + 218
We consider the new divisor 252 and the new remainder 218,and apply the division lemma to get
252 = 218 x 1 + 34
We consider the new divisor 218 and the new remainder 34,and apply the division lemma to get
218 = 34 x 6 + 14
We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8078 and 3426 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(218,34) = HCF(252,218) = HCF(974,252) = HCF(1226,974) = HCF(3426,1226) = HCF(8078,3426) .
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Frequently Asked Questions on HCF of 8078, 3426 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 8078, 3426?
Answer: HCF of 8078, 3426 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8078, 3426 using Euclid's Algorithm?
Answer: For arbitrary numbers 8078, 3426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.