Highest Common Factor of 175, 500, 989 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 175, 500, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 175, 500, 989 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 175, 500, 989 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 175, 500, 989 is 1.
HCF(175, 500, 989) = 1
HCF of 175, 500, 989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 175, 500, 989 is 1.
Highest Common Factor of 175,500,989 is 1
Step 1: Since 500 > 175, we apply the division lemma to 500 and 175, to get
500 = 175 x 2 + 150
Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 150 and 175, to get
175 = 150 x 1 + 25
Step 3: We consider the new divisor 150 and the new remainder 25, and apply the division lemma to get
150 = 25 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 175 and 500 is 25
Notice that 25 = HCF(150,25) = HCF(175,150) = HCF(500,175) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 989 > 25, we apply the division lemma to 989 and 25, to get
989 = 25 x 39 + 14
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 14 and 25, to get
25 = 14 x 1 + 11
Step 3: We consider the new divisor 14 and the new remainder 11, and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 25 and 989 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(989,25) .
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Frequently Asked Questions on HCF of 175, 500, 989 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 175, 500, 989?
Answer: HCF of 175, 500, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 175, 500, 989 using Euclid's Algorithm?
Answer: For arbitrary numbers 175, 500, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
