Highest Common Factor of 879, 3969, 5517 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 879, 3969, 5517 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 3969, 5517 is 3 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 879, 3969, 5517 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 879, 3969, 5517 is 3.
HCF(879, 3969, 5517) = 3
HCF of 879, 3969, 5517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 3969, 5517 is 3.
Highest Common Factor of 879,3969,5517 is 3
Step 1: Since 3969 > 879, we apply the division lemma to 3969 and 879, to get
3969 = 879 x 4 + 453
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 453 and 879, to get
879 = 453 x 1 + 426
Step 3: We consider the new divisor 453 and the new remainder 426, and apply the division lemma to get
453 = 426 x 1 + 27
We consider the new divisor 426 and the new remainder 27,and apply the division lemma to get
426 = 27 x 15 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 3969 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(426,27) = HCF(453,426) = HCF(879,453) = HCF(3969,879) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5517 > 3, we apply the division lemma to 5517 and 3, to get
5517 = 3 x 1839 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 5517 is 3
Notice that 3 = HCF(5517,3) .
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Frequently Asked Questions on HCF of 879, 3969, 5517 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 879, 3969, 5517?
Answer: HCF of 879, 3969, 5517 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 3969, 5517 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 3969, 5517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.