Highest Common Factor of 564, 129, 279, 953 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 564, 129, 279, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 564, 129, 279, 953 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 564, 129, 279, 953 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 564, 129, 279, 953 is 1.
HCF(564, 129, 279, 953) = 1
HCF of 564, 129, 279, 953 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 564, 129, 279, 953 is 1.
Highest Common Factor of 564,129,279,953 is 1
Step 1: Since 564 > 129, we apply the division lemma to 564 and 129, to get
564 = 129 x 4 + 48
Step 2: Since the reminder 129 ≠ 0, we apply division lemma to 48 and 129, to get
129 = 48 x 2 + 33
Step 3: We consider the new divisor 48 and the new remainder 33, and apply the division lemma to get
48 = 33 x 1 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 564 and 129 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(48,33) = HCF(129,48) = HCF(564,129) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 3, we apply the division lemma to 279 and 3, to get
279 = 3 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 279 is 3
Notice that 3 = HCF(279,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 953 > 3, we apply the division lemma to 953 and 3, to get
953 = 3 x 317 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 953 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(953,3) .
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Frequently Asked Questions on HCF of 564, 129, 279, 953 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 564, 129, 279, 953?
Answer: HCF of 564, 129, 279, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 564, 129, 279, 953 using Euclid's Algorithm?
Answer: For arbitrary numbers 564, 129, 279, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.