Highest Common Factor of 8874, 5441 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 8874, 5441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8874, 5441 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 8874, 5441 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 8874, 5441 is 1.
HCF(8874, 5441) = 1
HCF of 8874, 5441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8874, 5441 is 1.
Highest Common Factor of 8874,5441 is 1
Step 1: Since 8874 > 5441, we apply the division lemma to 8874 and 5441, to get
8874 = 5441 x 1 + 3433
Step 2: Since the reminder 5441 ≠ 0, we apply division lemma to 3433 and 5441, to get
5441 = 3433 x 1 + 2008
Step 3: We consider the new divisor 3433 and the new remainder 2008, and apply the division lemma to get
3433 = 2008 x 1 + 1425
We consider the new divisor 2008 and the new remainder 1425,and apply the division lemma to get
2008 = 1425 x 1 + 583
We consider the new divisor 1425 and the new remainder 583,and apply the division lemma to get
1425 = 583 x 2 + 259
We consider the new divisor 583 and the new remainder 259,and apply the division lemma to get
583 = 259 x 2 + 65
We consider the new divisor 259 and the new remainder 65,and apply the division lemma to get
259 = 65 x 3 + 64
We consider the new divisor 65 and the new remainder 64,and apply the division lemma to get
65 = 64 x 1 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8874 and 5441 is 1
Notice that 1 = HCF(64,1) = HCF(65,64) = HCF(259,65) = HCF(583,259) = HCF(1425,583) = HCF(2008,1425) = HCF(3433,2008) = HCF(5441,3433) = HCF(8874,5441) .
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Frequently Asked Questions on HCF of 8874, 5441 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 8874, 5441?
Answer: HCF of 8874, 5441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8874, 5441 using Euclid's Algorithm?
Answer: For arbitrary numbers 8874, 5441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.