Highest Common Factor of 599, 380, 501, 767 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 599, 380, 501, 767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 599, 380, 501, 767 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 599, 380, 501, 767 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 599, 380, 501, 767 is 1.
HCF(599, 380, 501, 767) = 1
HCF of 599, 380, 501, 767 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 599, 380, 501, 767 is 1.
Highest Common Factor of 599,380,501,767 is 1
Step 1: Since 599 > 380, we apply the division lemma to 599 and 380, to get
599 = 380 x 1 + 219
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 219 and 380, to get
380 = 219 x 1 + 161
Step 3: We consider the new divisor 219 and the new remainder 161, and apply the division lemma to get
219 = 161 x 1 + 58
We consider the new divisor 161 and the new remainder 58,and apply the division lemma to get
161 = 58 x 2 + 45
We consider the new divisor 58 and the new remainder 45,and apply the division lemma to get
58 = 45 x 1 + 13
We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get
45 = 13 x 3 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 599 and 380 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(58,45) = HCF(161,58) = HCF(219,161) = HCF(380,219) = HCF(599,380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 501 > 1, we apply the division lemma to 501 and 1, to get
501 = 1 x 501 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 501 is 1
Notice that 1 = HCF(501,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 767 > 1, we apply the division lemma to 767 and 1, to get
767 = 1 x 767 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 767 is 1
Notice that 1 = HCF(767,1) .
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Frequently Asked Questions on HCF of 599, 380, 501, 767 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 599, 380, 501, 767?
Answer: HCF of 599, 380, 501, 767 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 599, 380, 501, 767 using Euclid's Algorithm?
Answer: For arbitrary numbers 599, 380, 501, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.