Highest Common Factor of 2440, 1056 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 2440, 1056 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 2440, 1056 is 8 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 2440, 1056 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 2440, 1056 is 8.
HCF(2440, 1056) = 8
HCF of 2440, 1056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2440, 1056 is 8.
Highest Common Factor of 2440,1056 is 8
Step 1: Since 2440 > 1056, we apply the division lemma to 2440 and 1056, to get
2440 = 1056 x 2 + 328
Step 2: Since the reminder 1056 ≠ 0, we apply division lemma to 328 and 1056, to get
1056 = 328 x 3 + 72
Step 3: We consider the new divisor 328 and the new remainder 72, and apply the division lemma to get
328 = 72 x 4 + 40
We consider the new divisor 72 and the new remainder 40,and apply the division lemma to get
72 = 40 x 1 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 2440 and 1056 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(72,40) = HCF(328,72) = HCF(1056,328) = HCF(2440,1056) .
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Frequently Asked Questions on HCF of 2440, 1056 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 2440, 1056?
Answer: HCF of 2440, 1056 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2440, 1056 using Euclid's Algorithm?
Answer: For arbitrary numbers 2440, 1056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
