Highest Common Factor of 1521, 879 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 1521, 879 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1521, 879 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 1521, 879 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 1521, 879 is 3.
HCF(1521, 879) = 3
HCF of 1521, 879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1521, 879 is 3.
Highest Common Factor of 1521,879 is 3
Step 1: Since 1521 > 879, we apply the division lemma to 1521 and 879, to get
1521 = 879 x 1 + 642
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 642 and 879, to get
879 = 642 x 1 + 237
Step 3: We consider the new divisor 642 and the new remainder 237, and apply the division lemma to get
642 = 237 x 2 + 168
We consider the new divisor 237 and the new remainder 168,and apply the division lemma to get
237 = 168 x 1 + 69
We consider the new divisor 168 and the new remainder 69,and apply the division lemma to get
168 = 69 x 2 + 30
We consider the new divisor 69 and the new remainder 30,and apply the division lemma to get
69 = 30 x 2 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 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 1521 and 879 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(69,30) = HCF(168,69) = HCF(237,168) = HCF(642,237) = HCF(879,642) = HCF(1521,879) .
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Frequently Asked Questions on HCF of 1521, 879 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 1521, 879?
Answer: HCF of 1521, 879 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1521, 879 using Euclid's Algorithm?
Answer: For arbitrary numbers 1521, 879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.