Highest Common Factor of 7068, 4912 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 7068, 4912 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7068, 4912 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 7068, 4912 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 7068, 4912 is 4.
HCF(7068, 4912) = 4
HCF of 7068, 4912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7068, 4912 is 4.
Highest Common Factor of 7068,4912 is 4
Step 1: Since 7068 > 4912, we apply the division lemma to 7068 and 4912, to get
7068 = 4912 x 1 + 2156
Step 2: Since the reminder 4912 ≠ 0, we apply division lemma to 2156 and 4912, to get
4912 = 2156 x 2 + 600
Step 3: We consider the new divisor 2156 and the new remainder 600, and apply the division lemma to get
2156 = 600 x 3 + 356
We consider the new divisor 600 and the new remainder 356,and apply the division lemma to get
600 = 356 x 1 + 244
We consider the new divisor 356 and the new remainder 244,and apply the division lemma to get
356 = 244 x 1 + 112
We consider the new divisor 244 and the new remainder 112,and apply the division lemma to get
244 = 112 x 2 + 20
We consider the new divisor 112 and the new remainder 20,and apply the division lemma to get
112 = 20 x 5 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7068 and 4912 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(112,20) = HCF(244,112) = HCF(356,244) = HCF(600,356) = HCF(2156,600) = HCF(4912,2156) = HCF(7068,4912) .
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Frequently Asked Questions on HCF of 7068, 4912 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 7068, 4912?
Answer: HCF of 7068, 4912 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7068, 4912 using Euclid's Algorithm?
Answer: For arbitrary numbers 7068, 4912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.