Highest Common Factor of 1558, 5976, 70728 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 1558, 5976, 70728 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1558, 5976, 70728 is 2 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 1558, 5976, 70728 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 1558, 5976, 70728 is 2.
HCF(1558, 5976, 70728) = 2
HCF of 1558, 5976, 70728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1558, 5976, 70728 is 2.
Highest Common Factor of 1558,5976,70728 is 2
Step 1: Since 5976 > 1558, we apply the division lemma to 5976 and 1558, to get
5976 = 1558 x 3 + 1302
Step 2: Since the reminder 1558 ≠ 0, we apply division lemma to 1302 and 1558, to get
1558 = 1302 x 1 + 256
Step 3: We consider the new divisor 1302 and the new remainder 256, and apply the division lemma to get
1302 = 256 x 5 + 22
We consider the new divisor 256 and the new remainder 22,and apply the division lemma to get
256 = 22 x 11 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1558 and 5976 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(256,22) = HCF(1302,256) = HCF(1558,1302) = HCF(5976,1558) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70728 > 2, we apply the division lemma to 70728 and 2, to get
70728 = 2 x 35364 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 70728 is 2
Notice that 2 = HCF(70728,2) .
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Frequently Asked Questions on HCF of 1558, 5976, 70728 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 1558, 5976, 70728?
Answer: HCF of 1558, 5976, 70728 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1558, 5976, 70728 using Euclid's Algorithm?
Answer: For arbitrary numbers 1558, 5976, 70728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.