Highest Common Factor of 4715, 5440 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 4715, 5440 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4715, 5440 is 5 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 4715, 5440 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 4715, 5440 is 5.
HCF(4715, 5440) = 5
HCF of 4715, 5440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4715, 5440 is 5.
Highest Common Factor of 4715,5440 is 5
Step 1: Since 5440 > 4715, we apply the division lemma to 5440 and 4715, to get
5440 = 4715 x 1 + 725
Step 2: Since the reminder 4715 ≠ 0, we apply division lemma to 725 and 4715, to get
4715 = 725 x 6 + 365
Step 3: We consider the new divisor 725 and the new remainder 365, and apply the division lemma to get
725 = 365 x 1 + 360
We consider the new divisor 365 and the new remainder 360,and apply the division lemma to get
365 = 360 x 1 + 5
We consider the new divisor 360 and the new remainder 5,and apply the division lemma to get
360 = 5 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4715 and 5440 is 5
Notice that 5 = HCF(360,5) = HCF(365,360) = HCF(725,365) = HCF(4715,725) = HCF(5440,4715) .
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Frequently Asked Questions on HCF of 4715, 5440 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 4715, 5440?
Answer: HCF of 4715, 5440 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4715, 5440 using Euclid's Algorithm?
Answer: For arbitrary numbers 4715, 5440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
