Highest Common Factor of 5440, 981 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 5440, 981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5440, 981 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 5440, 981 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 5440, 981 is 1.
HCF(5440, 981) = 1
HCF of 5440, 981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5440, 981 is 1.
Highest Common Factor of 5440,981 is 1
Step 1: Since 5440 > 981, we apply the division lemma to 5440 and 981, to get
5440 = 981 x 5 + 535
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 535 and 981, to get
981 = 535 x 1 + 446
Step 3: We consider the new divisor 535 and the new remainder 446, and apply the division lemma to get
535 = 446 x 1 + 89
We consider the new divisor 446 and the new remainder 89,and apply the division lemma to get
446 = 89 x 5 + 1
We consider the new divisor 89 and the new remainder 1,and apply the division lemma to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5440 and 981 is 1
Notice that 1 = HCF(89,1) = HCF(446,89) = HCF(535,446) = HCF(981,535) = HCF(5440,981) .
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Frequently Asked Questions on HCF of 5440, 981 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 5440, 981?
Answer: HCF of 5440, 981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5440, 981 using Euclid's Algorithm?
Answer: For arbitrary numbers 5440, 981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.