Highest Common Factor of 4273, 3370 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 4273, 3370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4273, 3370 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 4273, 3370 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 4273, 3370 is 1.
HCF(4273, 3370) = 1
HCF of 4273, 3370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4273, 3370 is 1.
Highest Common Factor of 4273,3370 is 1
Step 1: Since 4273 > 3370, we apply the division lemma to 4273 and 3370, to get
4273 = 3370 x 1 + 903
Step 2: Since the reminder 3370 ≠ 0, we apply division lemma to 903 and 3370, to get
3370 = 903 x 3 + 661
Step 3: We consider the new divisor 903 and the new remainder 661, and apply the division lemma to get
903 = 661 x 1 + 242
We consider the new divisor 661 and the new remainder 242,and apply the division lemma to get
661 = 242 x 2 + 177
We consider the new divisor 242 and the new remainder 177,and apply the division lemma to get
242 = 177 x 1 + 65
We consider the new divisor 177 and the new remainder 65,and apply the division lemma to get
177 = 65 x 2 + 47
We consider the new divisor 65 and the new remainder 47,and apply the division lemma to get
65 = 47 x 1 + 18
We consider the new divisor 47 and the new remainder 18,and apply the division lemma to get
47 = 18 x 2 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4273 and 3370 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(47,18) = HCF(65,47) = HCF(177,65) = HCF(242,177) = HCF(661,242) = HCF(903,661) = HCF(3370,903) = HCF(4273,3370) .
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Frequently Asked Questions on HCF of 4273, 3370 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 4273, 3370?
Answer: HCF of 4273, 3370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4273, 3370 using Euclid's Algorithm?
Answer: For arbitrary numbers 4273, 3370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
