Highest Common Factor of 1012, 7668 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 1012, 7668 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1012, 7668 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 1012, 7668 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 1012, 7668 is 4.
HCF(1012, 7668) = 4
HCF of 1012, 7668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1012, 7668 is 4.
Highest Common Factor of 1012,7668 is 4
Step 1: Since 7668 > 1012, we apply the division lemma to 7668 and 1012, to get
7668 = 1012 x 7 + 584
Step 2: Since the reminder 1012 ≠ 0, we apply division lemma to 584 and 1012, to get
1012 = 584 x 1 + 428
Step 3: We consider the new divisor 584 and the new remainder 428, and apply the division lemma to get
584 = 428 x 1 + 156
We consider the new divisor 428 and the new remainder 156,and apply the division lemma to get
428 = 156 x 2 + 116
We consider the new divisor 156 and the new remainder 116,and apply the division lemma to get
156 = 116 x 1 + 40
We consider the new divisor 116 and the new remainder 40,and apply the division lemma to get
116 = 40 x 2 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1012 and 7668 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(116,40) = HCF(156,116) = HCF(428,156) = HCF(584,428) = HCF(1012,584) = HCF(7668,1012) .
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Frequently Asked Questions on HCF of 1012, 7668 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 1012, 7668?
Answer: HCF of 1012, 7668 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1012, 7668 using Euclid's Algorithm?
Answer: For arbitrary numbers 1012, 7668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.