Highest Common Factor of 2124, 6868 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 2124, 6868 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2124, 6868 is 4 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 2124, 6868 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 2124, 6868 is 4.
HCF(2124, 6868) = 4
HCF of 2124, 6868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2124, 6868 is 4.
Highest Common Factor of 2124,6868 is 4
Step 1: Since 6868 > 2124, we apply the division lemma to 6868 and 2124, to get
6868 = 2124 x 3 + 496
Step 2: Since the reminder 2124 ≠ 0, we apply division lemma to 496 and 2124, to get
2124 = 496 x 4 + 140
Step 3: We consider the new divisor 496 and the new remainder 140, and apply the division lemma to get
496 = 140 x 3 + 76
We consider the new divisor 140 and the new remainder 76,and apply the division lemma to get
140 = 76 x 1 + 64
We consider the new divisor 76 and the new remainder 64,and apply the division lemma to get
76 = 64 x 1 + 12
We consider the new divisor 64 and the new remainder 12,and apply the division lemma to get
64 = 12 x 5 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2124 and 6868 is 4
Notice that 4 = HCF(12,4) = HCF(64,12) = HCF(76,64) = HCF(140,76) = HCF(496,140) = HCF(2124,496) = HCF(6868,2124) .
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Frequently Asked Questions on HCF of 2124, 6868 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 2124, 6868?
Answer: HCF of 2124, 6868 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2124, 6868 using Euclid's Algorithm?
Answer: For arbitrary numbers 2124, 6868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.