Highest Common Factor of 559, 976, 970, 999 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 559, 976, 970, 999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 976, 970, 999 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 559, 976, 970, 999 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 559, 976, 970, 999 is 1.
HCF(559, 976, 970, 999) = 1
HCF of 559, 976, 970, 999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 559, 976, 970, 999 is 1.
Highest Common Factor of 559,976,970,999 is 1
Step 1: Since 976 > 559, we apply the division lemma to 976 and 559, to get
976 = 559 x 1 + 417
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 417 and 559, to get
559 = 417 x 1 + 142
Step 3: We consider the new divisor 417 and the new remainder 142, and apply the division lemma to get
417 = 142 x 2 + 133
We consider the new divisor 142 and the new remainder 133,and apply the division lemma to get
142 = 133 x 1 + 9
We consider the new divisor 133 and the new remainder 9,and apply the division lemma to get
133 = 9 x 14 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 559 and 976 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(133,9) = HCF(142,133) = HCF(417,142) = HCF(559,417) = HCF(976,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 970 > 1, we apply the division lemma to 970 and 1, to get
970 = 1 x 970 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 970 is 1
Notice that 1 = HCF(970,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 999 > 1, we apply the division lemma to 999 and 1, to get
999 = 1 x 999 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 999 is 1
Notice that 1 = HCF(999,1) .
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Frequently Asked Questions on HCF of 559, 976, 970, 999 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 559, 976, 970, 999?
Answer: HCF of 559, 976, 970, 999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 976, 970, 999 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 976, 970, 999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.