Highest Common Factor of 7121, 7886 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 7121, 7886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7121, 7886 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 7121, 7886 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 7121, 7886 is 1.
HCF(7121, 7886) = 1
HCF of 7121, 7886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7121, 7886 is 1.
Highest Common Factor of 7121,7886 is 1
Step 1: Since 7886 > 7121, we apply the division lemma to 7886 and 7121, to get
7886 = 7121 x 1 + 765
Step 2: Since the reminder 7121 ≠ 0, we apply division lemma to 765 and 7121, to get
7121 = 765 x 9 + 236
Step 3: We consider the new divisor 765 and the new remainder 236, and apply the division lemma to get
765 = 236 x 3 + 57
We consider the new divisor 236 and the new remainder 57,and apply the division lemma to get
236 = 57 x 4 + 8
We consider the new divisor 57 and the new remainder 8,and apply the division lemma to get
57 = 8 x 7 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7121 and 7886 is 1
Notice that 1 = HCF(8,1) = HCF(57,8) = HCF(236,57) = HCF(765,236) = HCF(7121,765) = HCF(7886,7121) .
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Frequently Asked Questions on HCF of 7121, 7886 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 7121, 7886?
Answer: HCF of 7121, 7886 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7121, 7886 using Euclid's Algorithm?
Answer: For arbitrary numbers 7121, 7886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.