Highest Common Factor of 5385, 4750, 32410 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 5385, 4750, 32410 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5385, 4750, 32410 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 5385, 4750, 32410 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 5385, 4750, 32410 is 5.
HCF(5385, 4750, 32410) = 5
HCF of 5385, 4750, 32410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5385, 4750, 32410 is 5.
Highest Common Factor of 5385,4750,32410 is 5
Step 1: Since 5385 > 4750, we apply the division lemma to 5385 and 4750, to get
5385 = 4750 x 1 + 635
Step 2: Since the reminder 4750 ≠ 0, we apply division lemma to 635 and 4750, to get
4750 = 635 x 7 + 305
Step 3: We consider the new divisor 635 and the new remainder 305, and apply the division lemma to get
635 = 305 x 2 + 25
We consider the new divisor 305 and the new remainder 25,and apply the division lemma to get
305 = 25 x 12 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5385 and 4750 is 5
Notice that 5 = HCF(25,5) = HCF(305,25) = HCF(635,305) = HCF(4750,635) = HCF(5385,4750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32410 > 5, we apply the division lemma to 32410 and 5, to get
32410 = 5 x 6482 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 32410 is 5
Notice that 5 = HCF(32410,5) .
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Frequently Asked Questions on HCF of 5385, 4750, 32410 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 5385, 4750, 32410?
Answer: HCF of 5385, 4750, 32410 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5385, 4750, 32410 using Euclid's Algorithm?
Answer: For arbitrary numbers 5385, 4750, 32410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.