Highest Common Factor of 2472, 8879 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 2472, 8879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2472, 8879 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 2472, 8879 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 2472, 8879 is 1.
HCF(2472, 8879) = 1
HCF of 2472, 8879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2472, 8879 is 1.
Highest Common Factor of 2472,8879 is 1
Step 1: Since 8879 > 2472, we apply the division lemma to 8879 and 2472, to get
8879 = 2472 x 3 + 1463
Step 2: Since the reminder 2472 ≠ 0, we apply division lemma to 1463 and 2472, to get
2472 = 1463 x 1 + 1009
Step 3: We consider the new divisor 1463 and the new remainder 1009, and apply the division lemma to get
1463 = 1009 x 1 + 454
We consider the new divisor 1009 and the new remainder 454,and apply the division lemma to get
1009 = 454 x 2 + 101
We consider the new divisor 454 and the new remainder 101,and apply the division lemma to get
454 = 101 x 4 + 50
We consider the new divisor 101 and the new remainder 50,and apply the division lemma to get
101 = 50 x 2 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2472 and 8879 is 1
Notice that 1 = HCF(50,1) = HCF(101,50) = HCF(454,101) = HCF(1009,454) = HCF(1463,1009) = HCF(2472,1463) = HCF(8879,2472) .
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Frequently Asked Questions on HCF of 2472, 8879 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 2472, 8879?
Answer: HCF of 2472, 8879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2472, 8879 using Euclid's Algorithm?
Answer: For arbitrary numbers 2472, 8879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.