Highest Common Factor of 2556, 1084 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 2556, 1084 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2556, 1084 is 4 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 2556, 1084 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 2556, 1084 is 4.
HCF(2556, 1084) = 4
HCF of 2556, 1084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2556, 1084 is 4.
Highest Common Factor of 2556,1084 is 4
Step 1: Since 2556 > 1084, we apply the division lemma to 2556 and 1084, to get
2556 = 1084 x 2 + 388
Step 2: Since the reminder 1084 ≠ 0, we apply division lemma to 388 and 1084, to get
1084 = 388 x 2 + 308
Step 3: We consider the new divisor 388 and the new remainder 308, and apply the division lemma to get
388 = 308 x 1 + 80
We consider the new divisor 308 and the new remainder 80,and apply the division lemma to get
308 = 80 x 3 + 68
We consider the new divisor 80 and the new remainder 68,and apply the division lemma to get
80 = 68 x 1 + 12
We consider the new divisor 68 and the new remainder 12,and apply the division lemma to get
68 = 12 x 5 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2556 and 1084 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(68,12) = HCF(80,68) = HCF(308,80) = HCF(388,308) = HCF(1084,388) = HCF(2556,1084) .
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Frequently Asked Questions on HCF of 2556, 1084 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 2556, 1084?
Answer: HCF of 2556, 1084 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2556, 1084 using Euclid's Algorithm?
Answer: For arbitrary numbers 2556, 1084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.