Highest Common Factor of 275, 481, 757, 189 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 275, 481, 757, 189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 275, 481, 757, 189 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 275, 481, 757, 189 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 275, 481, 757, 189 is 1.
HCF(275, 481, 757, 189) = 1
HCF of 275, 481, 757, 189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 275, 481, 757, 189 is 1.
Highest Common Factor of 275,481,757,189 is 1
Step 1: Since 481 > 275, we apply the division lemma to 481 and 275, to get
481 = 275 x 1 + 206
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 206 and 275, to get
275 = 206 x 1 + 69
Step 3: We consider the new divisor 206 and the new remainder 69, and apply the division lemma to get
206 = 69 x 2 + 68
We consider the new divisor 69 and the new remainder 68,and apply the division lemma to get
69 = 68 x 1 + 1
We consider the new divisor 68 and the new remainder 1,and apply the division lemma to get
68 = 1 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 275 and 481 is 1
Notice that 1 = HCF(68,1) = HCF(69,68) = HCF(206,69) = HCF(275,206) = HCF(481,275) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 757 > 1, we apply the division lemma to 757 and 1, to get
757 = 1 x 757 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 757 is 1
Notice that 1 = HCF(757,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 189 > 1, we apply the division lemma to 189 and 1, to get
189 = 1 x 189 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 189 is 1
Notice that 1 = HCF(189,1) .
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Frequently Asked Questions on HCF of 275, 481, 757, 189 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 275, 481, 757, 189?
Answer: HCF of 275, 481, 757, 189 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 275, 481, 757, 189 using Euclid's Algorithm?
Answer: For arbitrary numbers 275, 481, 757, 189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.