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 3460, 2332 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3460, 2332 is 4 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 3460, 2332 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 3460, 2332 is 4.
HCF(3460, 2332) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3460, 2332 is 4.
Step 1: Since 3460 > 2332, we apply the division lemma to 3460 and 2332, to get
3460 = 2332 x 1 + 1128
Step 2: Since the reminder 2332 ≠ 0, we apply division lemma to 1128 and 2332, to get
2332 = 1128 x 2 + 76
Step 3: We consider the new divisor 1128 and the new remainder 76, and apply the division lemma to get
1128 = 76 x 14 + 64
We consider the new divisor 76 and the new remainder 64,and apply the division lemma to get
76 = 64 x 1 + 12
We consider the new divisor 64 and the new remainder 12,and apply the division lemma to get
64 = 12 x 5 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3460 and 2332 is 4
Notice that 4 = HCF(12,4) = HCF(64,12) = HCF(76,64) = HCF(1128,76) = HCF(2332,1128) = HCF(3460,2332) .
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 3460, 2332?
Answer: HCF of 3460, 2332 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3460, 2332 using Euclid's Algorithm?
Answer: For arbitrary numbers 3460, 2332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.