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 4282, 3521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4282, 3521 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 4282, 3521 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 4282, 3521 is 1.
HCF(4282, 3521) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4282, 3521 is 1.
Step 1: Since 4282 > 3521, we apply the division lemma to 4282 and 3521, to get
4282 = 3521 x 1 + 761
Step 2: Since the reminder 3521 ≠ 0, we apply division lemma to 761 and 3521, to get
3521 = 761 x 4 + 477
Step 3: We consider the new divisor 761 and the new remainder 477, and apply the division lemma to get
761 = 477 x 1 + 284
We consider the new divisor 477 and the new remainder 284,and apply the division lemma to get
477 = 284 x 1 + 193
We consider the new divisor 284 and the new remainder 193,and apply the division lemma to get
284 = 193 x 1 + 91
We consider the new divisor 193 and the new remainder 91,and apply the division lemma to get
193 = 91 x 2 + 11
We consider the new divisor 91 and the new remainder 11,and apply the division lemma to get
91 = 11 x 8 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4282 and 3521 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(91,11) = HCF(193,91) = HCF(284,193) = HCF(477,284) = HCF(761,477) = HCF(3521,761) = HCF(4282,3521) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4282, 3521?
Answer: HCF of 4282, 3521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4282, 3521 using Euclid's Algorithm?
Answer: For arbitrary numbers 4282, 3521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.