Highest Common Factor of 1175, 1250, 20810 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 1175, 1250, 20810 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1175, 1250, 20810 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 1175, 1250, 20810 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 1175, 1250, 20810 is 5.
HCF(1175, 1250, 20810) = 5
HCF of 1175, 1250, 20810 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1175, 1250, 20810 is 5.
Highest Common Factor of 1175,1250,20810 is 5
Step 1: Since 1250 > 1175, we apply the division lemma to 1250 and 1175, to get
1250 = 1175 x 1 + 75
Step 2: Since the reminder 1175 ≠ 0, we apply division lemma to 75 and 1175, to get
1175 = 75 x 15 + 50
Step 3: We consider the new divisor 75 and the new remainder 50, and apply the division lemma to get
75 = 50 x 1 + 25
We consider the new divisor 50 and the new remainder 25, and apply the division lemma to get
50 = 25 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 1175 and 1250 is 25
Notice that 25 = HCF(50,25) = HCF(75,50) = HCF(1175,75) = HCF(1250,1175) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20810 > 25, we apply the division lemma to 20810 and 25, to get
20810 = 25 x 832 + 10
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 10 and 25, to get
25 = 10 x 2 + 5
Step 3: We consider the new divisor 10 and the new remainder 5, and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 25 and 20810 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(20810,25) .
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Frequently Asked Questions on HCF of 1175, 1250, 20810 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 1175, 1250, 20810?
Answer: HCF of 1175, 1250, 20810 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1175, 1250, 20810 using Euclid's Algorithm?
Answer: For arbitrary numbers 1175, 1250, 20810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.