Highest Common Factor of 7228, 2989 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 7228, 2989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7228, 2989 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 7228, 2989 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 7228, 2989 is 1.
HCF(7228, 2989) = 1
HCF of 7228, 2989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7228, 2989 is 1.
Highest Common Factor of 7228,2989 is 1
Step 1: Since 7228 > 2989, we apply the division lemma to 7228 and 2989, to get
7228 = 2989 x 2 + 1250
Step 2: Since the reminder 2989 ≠ 0, we apply division lemma to 1250 and 2989, to get
2989 = 1250 x 2 + 489
Step 3: We consider the new divisor 1250 and the new remainder 489, and apply the division lemma to get
1250 = 489 x 2 + 272
We consider the new divisor 489 and the new remainder 272,and apply the division lemma to get
489 = 272 x 1 + 217
We consider the new divisor 272 and the new remainder 217,and apply the division lemma to get
272 = 217 x 1 + 55
We consider the new divisor 217 and the new remainder 55,and apply the division lemma to get
217 = 55 x 3 + 52
We consider the new divisor 55 and the new remainder 52,and apply the division lemma to get
55 = 52 x 1 + 3
We consider the new divisor 52 and the new remainder 3,and apply the division lemma to get
52 = 3 x 17 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7228 and 2989 is 1
Notice that 1 = HCF(3,1) = HCF(52,3) = HCF(55,52) = HCF(217,55) = HCF(272,217) = HCF(489,272) = HCF(1250,489) = HCF(2989,1250) = HCF(7228,2989) .
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Frequently Asked Questions on HCF of 7228, 2989 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 7228, 2989?
Answer: HCF of 7228, 2989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7228, 2989 using Euclid's Algorithm?
Answer: For arbitrary numbers 7228, 2989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.