Highest Common Factor of 918, 4421 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 918, 4421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 4421 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 918, 4421 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 918, 4421 is 1.
HCF(918, 4421) = 1
HCF of 918, 4421 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 4421 is 1.
Highest Common Factor of 918,4421 is 1
Step 1: Since 4421 > 918, we apply the division lemma to 4421 and 918, to get
4421 = 918 x 4 + 749
Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 749 and 918, to get
918 = 749 x 1 + 169
Step 3: We consider the new divisor 749 and the new remainder 169, and apply the division lemma to get
749 = 169 x 4 + 73
We consider the new divisor 169 and the new remainder 73,and apply the division lemma to get
169 = 73 x 2 + 23
We consider the new divisor 73 and the new remainder 23,and apply the division lemma to get
73 = 23 x 3 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 918 and 4421 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(73,23) = HCF(169,73) = HCF(749,169) = HCF(918,749) = HCF(4421,918) .
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Frequently Asked Questions on HCF of 918, 4421 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 918, 4421?
Answer: HCF of 918, 4421 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 4421 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 4421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
