Highest Common Factor of 7889, 8220 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, 8220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7889, 8220 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, 8220 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, 8220 is 1.
HCF(7889, 8220) = 1
HCF of 7889, 8220 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, 8220 is 1.
Highest Common Factor of 7889,8220 is 1
Step 1: Since 8220 > 7889, we apply the division lemma to 8220 and 7889, to get
8220 = 7889 x 1 + 331
Step 2: Since the reminder 7889 ≠ 0, we apply division lemma to 331 and 7889, to get
7889 = 331 x 23 + 276
Step 3: We consider the new divisor 331 and the new remainder 276, and apply the division lemma to get
331 = 276 x 1 + 55
We consider the new divisor 276 and the new remainder 55,and apply the division lemma to get
276 = 55 x 5 + 1
We consider the new divisor 55 and the new remainder 1,and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7889 and 8220 is 1
Notice that 1 = HCF(55,1) = HCF(276,55) = HCF(331,276) = HCF(7889,331) = HCF(8220,7889) .
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Frequently Asked Questions on HCF of 7889, 8220 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, 8220?
Answer: HCF of 7889, 8220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7889, 8220 using Euclid's Algorithm?
Answer: For arbitrary numbers 7889, 8220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.