Highest Common Factor of 6225, 3253 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 6225, 3253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6225, 3253 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 6225, 3253 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 6225, 3253 is 1.
HCF(6225, 3253) = 1
HCF of 6225, 3253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6225, 3253 is 1.
Highest Common Factor of 6225,3253 is 1
Step 1: Since 6225 > 3253, we apply the division lemma to 6225 and 3253, to get
6225 = 3253 x 1 + 2972
Step 2: Since the reminder 3253 ≠ 0, we apply division lemma to 2972 and 3253, to get
3253 = 2972 x 1 + 281
Step 3: We consider the new divisor 2972 and the new remainder 281, and apply the division lemma to get
2972 = 281 x 10 + 162
We consider the new divisor 281 and the new remainder 162,and apply the division lemma to get
281 = 162 x 1 + 119
We consider the new divisor 162 and the new remainder 119,and apply the division lemma to get
162 = 119 x 1 + 43
We consider the new divisor 119 and the new remainder 43,and apply the division lemma to get
119 = 43 x 2 + 33
We consider the new divisor 43 and the new remainder 33,and apply the division lemma to get
43 = 33 x 1 + 10
We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get
33 = 10 x 3 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 6225 and 3253 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(43,33) = HCF(119,43) = HCF(162,119) = HCF(281,162) = HCF(2972,281) = HCF(3253,2972) = HCF(6225,3253) .
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Frequently Asked Questions on HCF of 6225, 3253 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 6225, 3253?
Answer: HCF of 6225, 3253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6225, 3253 using Euclid's Algorithm?
Answer: For arbitrary numbers 6225, 3253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.