Highest Common Factor of 2056, 7441 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 2056, 7441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2056, 7441 is 1 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 2056, 7441 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 2056, 7441 is 1.
HCF(2056, 7441) = 1
HCF of 2056, 7441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2056, 7441 is 1.
Highest Common Factor of 2056,7441 is 1
Step 1: Since 7441 > 2056, we apply the division lemma to 7441 and 2056, to get
7441 = 2056 x 3 + 1273
Step 2: Since the reminder 2056 ≠ 0, we apply division lemma to 1273 and 2056, to get
2056 = 1273 x 1 + 783
Step 3: We consider the new divisor 1273 and the new remainder 783, and apply the division lemma to get
1273 = 783 x 1 + 490
We consider the new divisor 783 and the new remainder 490,and apply the division lemma to get
783 = 490 x 1 + 293
We consider the new divisor 490 and the new remainder 293,and apply the division lemma to get
490 = 293 x 1 + 197
We consider the new divisor 293 and the new remainder 197,and apply the division lemma to get
293 = 197 x 1 + 96
We consider the new divisor 197 and the new remainder 96,and apply the division lemma to get
197 = 96 x 2 + 5
We consider the new divisor 96 and the new remainder 5,and apply the division lemma to get
96 = 5 x 19 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2056 and 7441 is 1
Notice that 1 = HCF(5,1) = HCF(96,5) = HCF(197,96) = HCF(293,197) = HCF(490,293) = HCF(783,490) = HCF(1273,783) = HCF(2056,1273) = HCF(7441,2056) .
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Frequently Asked Questions on HCF of 2056, 7441 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 2056, 7441?
Answer: HCF of 2056, 7441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2056, 7441 using Euclid's Algorithm?
Answer: For arbitrary numbers 2056, 7441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.