Highest Common Factor of 8758, 5300, 58570 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 8758, 5300, 58570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8758, 5300, 58570 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 8758, 5300, 58570 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 8758, 5300, 58570 is 2.
HCF(8758, 5300, 58570) = 2
HCF of 8758, 5300, 58570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8758, 5300, 58570 is 2.
Highest Common Factor of 8758,5300,58570 is 2
Step 1: Since 8758 > 5300, we apply the division lemma to 8758 and 5300, to get
8758 = 5300 x 1 + 3458
Step 2: Since the reminder 5300 ≠ 0, we apply division lemma to 3458 and 5300, to get
5300 = 3458 x 1 + 1842
Step 3: We consider the new divisor 3458 and the new remainder 1842, and apply the division lemma to get
3458 = 1842 x 1 + 1616
We consider the new divisor 1842 and the new remainder 1616,and apply the division lemma to get
1842 = 1616 x 1 + 226
We consider the new divisor 1616 and the new remainder 226,and apply the division lemma to get
1616 = 226 x 7 + 34
We consider the new divisor 226 and the new remainder 34,and apply the division lemma to get
226 = 34 x 6 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8758 and 5300 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(226,34) = HCF(1616,226) = HCF(1842,1616) = HCF(3458,1842) = HCF(5300,3458) = HCF(8758,5300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58570 > 2, we apply the division lemma to 58570 and 2, to get
58570 = 2 x 29285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 58570 is 2
Notice that 2 = HCF(58570,2) .
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Frequently Asked Questions on HCF of 8758, 5300, 58570 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 8758, 5300, 58570?
Answer: HCF of 8758, 5300, 58570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8758, 5300, 58570 using Euclid's Algorithm?
Answer: For arbitrary numbers 8758, 5300, 58570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
