Highest Common Factor of 757, 623, 199, 184 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, 623, 199, 184 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 623, 199, 184 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, 623, 199, 184 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, 623, 199, 184 is 1.
HCF(757, 623, 199, 184) = 1
HCF of 757, 623, 199, 184 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, 623, 199, 184 is 1.
Highest Common Factor of 757,623,199,184 is 1
Step 1: Since 757 > 623, we apply the division lemma to 757 and 623, to get
757 = 623 x 1 + 134
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 134 and 623, to get
623 = 134 x 4 + 87
Step 3: We consider the new divisor 134 and the new remainder 87, and apply the division lemma to get
134 = 87 x 1 + 47
We consider the new divisor 87 and the new remainder 47,and apply the division lemma to get
87 = 47 x 1 + 40
We consider the new divisor 47 and the new remainder 40,and apply the division lemma to get
47 = 40 x 1 + 7
We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get
40 = 7 x 5 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 757 and 623 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(47,40) = HCF(87,47) = HCF(134,87) = HCF(623,134) = HCF(757,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 199 > 1, we apply the division lemma to 199 and 1, to get
199 = 1 x 199 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 199 is 1
Notice that 1 = HCF(199,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 184 > 1, we apply the division lemma to 184 and 1, to get
184 = 1 x 184 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 184 is 1
Notice that 1 = HCF(184,1) .
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Frequently Asked Questions on HCF of 757, 623, 199, 184 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, 623, 199, 184?
Answer: HCF of 757, 623, 199, 184 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 623, 199, 184 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 623, 199, 184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.