Highest Common Factor of 7889, 8012 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 7889, 8012 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7889, 8012 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 7889, 8012 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 7889, 8012 is 1.
HCF(7889, 8012) = 1
HCF of 7889, 8012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7889, 8012 is 1.
Highest Common Factor of 7889,8012 is 1
Step 1: Since 8012 > 7889, we apply the division lemma to 8012 and 7889, to get
8012 = 7889 x 1 + 123
Step 2: Since the reminder 7889 ≠ 0, we apply division lemma to 123 and 7889, to get
7889 = 123 x 64 + 17
Step 3: We consider the new divisor 123 and the new remainder 17, and apply the division lemma to get
123 = 17 x 7 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7889 and 8012 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(123,17) = HCF(7889,123) = HCF(8012,7889) .
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Frequently Asked Questions on HCF of 7889, 8012 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 7889, 8012?
Answer: HCF of 7889, 8012 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7889, 8012 using Euclid's Algorithm?
Answer: For arbitrary numbers 7889, 8012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.