Highest Common Factor of 2546, 6426, 82870 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 2546, 6426, 82870 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2546, 6426, 82870 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 2546, 6426, 82870 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 2546, 6426, 82870 is 2.
HCF(2546, 6426, 82870) = 2
HCF of 2546, 6426, 82870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2546, 6426, 82870 is 2.
Highest Common Factor of 2546,6426,82870 is 2
Step 1: Since 6426 > 2546, we apply the division lemma to 6426 and 2546, to get
6426 = 2546 x 2 + 1334
Step 2: Since the reminder 2546 ≠ 0, we apply division lemma to 1334 and 2546, to get
2546 = 1334 x 1 + 1212
Step 3: We consider the new divisor 1334 and the new remainder 1212, and apply the division lemma to get
1334 = 1212 x 1 + 122
We consider the new divisor 1212 and the new remainder 122,and apply the division lemma to get
1212 = 122 x 9 + 114
We consider the new divisor 122 and the new remainder 114,and apply the division lemma to get
122 = 114 x 1 + 8
We consider the new divisor 114 and the new remainder 8,and apply the division lemma to get
114 = 8 x 14 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2546 and 6426 is 2
Notice that 2 = HCF(8,2) = HCF(114,8) = HCF(122,114) = HCF(1212,122) = HCF(1334,1212) = HCF(2546,1334) = HCF(6426,2546) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82870 > 2, we apply the division lemma to 82870 and 2, to get
82870 = 2 x 41435 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 82870 is 2
Notice that 2 = HCF(82870,2) .
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Frequently Asked Questions on HCF of 2546, 6426, 82870 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 2546, 6426, 82870?
Answer: HCF of 2546, 6426, 82870 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2546, 6426, 82870 using Euclid's Algorithm?
Answer: For arbitrary numbers 2546, 6426, 82870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.