Highest Common Factor of 757, 427, 188, 652 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 757, 427, 188, 652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 427, 188, 652 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 757, 427, 188, 652 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 757, 427, 188, 652 is 1.
HCF(757, 427, 188, 652) = 1
HCF of 757, 427, 188, 652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 757, 427, 188, 652 is 1.
Highest Common Factor of 757,427,188,652 is 1
Step 1: Since 757 > 427, we apply the division lemma to 757 and 427, to get
757 = 427 x 1 + 330
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 330 and 427, to get
427 = 330 x 1 + 97
Step 3: We consider the new divisor 330 and the new remainder 97, and apply the division lemma to get
330 = 97 x 3 + 39
We consider the new divisor 97 and the new remainder 39,and apply the division lemma to get
97 = 39 x 2 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 757 and 427 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(97,39) = HCF(330,97) = HCF(427,330) = HCF(757,427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 188 > 1, we apply the division lemma to 188 and 1, to get
188 = 1 x 188 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 188 is 1
Notice that 1 = HCF(188,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 652 > 1, we apply the division lemma to 652 and 1, to get
652 = 1 x 652 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 652 is 1
Notice that 1 = HCF(652,1) .
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Frequently Asked Questions on HCF of 757, 427, 188, 652 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 757, 427, 188, 652?
Answer: HCF of 757, 427, 188, 652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 427, 188, 652 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 427, 188, 652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.