Highest Common Factor of 879, 48069 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, 48069 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 48069 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, 48069 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, 48069 is 3.
HCF(879, 48069) = 3
HCF of 879, 48069 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, 48069 is 3.
Highest Common Factor of 879,48069 is 3
Step 1: Since 48069 > 879, we apply the division lemma to 48069 and 879, to get
48069 = 879 x 54 + 603
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 603 and 879, to get
879 = 603 x 1 + 276
Step 3: We consider the new divisor 603 and the new remainder 276, and apply the division lemma to get
603 = 276 x 2 + 51
We consider the new divisor 276 and the new remainder 51,and apply the division lemma to get
276 = 51 x 5 + 21
We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get
51 = 21 x 2 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 48069 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(276,51) = HCF(603,276) = HCF(879,603) = HCF(48069,879) .
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Frequently Asked Questions on HCF of 879, 48069 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, 48069?
Answer: HCF of 879, 48069 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 48069 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 48069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.