Highest Common Factor of 3225, 5283 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 3225, 5283 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3225, 5283 is 3 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 3225, 5283 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 3225, 5283 is 3.
HCF(3225, 5283) = 3
HCF of 3225, 5283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3225, 5283 is 3.
Highest Common Factor of 3225,5283 is 3
Step 1: Since 5283 > 3225, we apply the division lemma to 5283 and 3225, to get
5283 = 3225 x 1 + 2058
Step 2: Since the reminder 3225 ≠ 0, we apply division lemma to 2058 and 3225, to get
3225 = 2058 x 1 + 1167
Step 3: We consider the new divisor 2058 and the new remainder 1167, and apply the division lemma to get
2058 = 1167 x 1 + 891
We consider the new divisor 1167 and the new remainder 891,and apply the division lemma to get
1167 = 891 x 1 + 276
We consider the new divisor 891 and the new remainder 276,and apply the division lemma to get
891 = 276 x 3 + 63
We consider the new divisor 276 and the new remainder 63,and apply the division lemma to get
276 = 63 x 4 + 24
We consider the new divisor 63 and the new remainder 24,and apply the division lemma to get
63 = 24 x 2 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3225 and 5283 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(63,24) = HCF(276,63) = HCF(891,276) = HCF(1167,891) = HCF(2058,1167) = HCF(3225,2058) = HCF(5283,3225) .
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Frequently Asked Questions on HCF of 3225, 5283 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 3225, 5283?
Answer: HCF of 3225, 5283 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3225, 5283 using Euclid's Algorithm?
Answer: For arbitrary numbers 3225, 5283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
