Highest Common Factor of 599, 756, 406, 35 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, 756, 406, 35 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 599, 756, 406, 35 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, 756, 406, 35 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, 756, 406, 35 is 1.
HCF(599, 756, 406, 35) = 1
HCF of 599, 756, 406, 35 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, 756, 406, 35 is 1.
Highest Common Factor of 599,756,406,35 is 1
Step 1: Since 756 > 599, we apply the division lemma to 756 and 599, to get
756 = 599 x 1 + 157
Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 157 and 599, to get
599 = 157 x 3 + 128
Step 3: We consider the new divisor 157 and the new remainder 128, and apply the division lemma to get
157 = 128 x 1 + 29
We consider the new divisor 128 and the new remainder 29,and apply the division lemma to get
128 = 29 x 4 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 599 and 756 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(128,29) = HCF(157,128) = HCF(599,157) = HCF(756,599) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 406 > 1, we apply the division lemma to 406 and 1, to get
406 = 1 x 406 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 406 is 1
Notice that 1 = HCF(406,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35 > 1, we apply the division lemma to 35 and 1, to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35 is 1
Notice that 1 = HCF(35,1) .
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Frequently Asked Questions on HCF of 599, 756, 406, 35 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, 756, 406, 35?
Answer: HCF of 599, 756, 406, 35 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 599, 756, 406, 35 using Euclid's Algorithm?
Answer: For arbitrary numbers 599, 756, 406, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.