Highest Common Factor of 1468, 3832 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 1468, 3832 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1468, 3832 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 1468, 3832 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 1468, 3832 is 4.
HCF(1468, 3832) = 4
HCF of 1468, 3832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1468, 3832 is 4.
Highest Common Factor of 1468,3832 is 4
Step 1: Since 3832 > 1468, we apply the division lemma to 3832 and 1468, to get
3832 = 1468 x 2 + 896
Step 2: Since the reminder 1468 ≠ 0, we apply division lemma to 896 and 1468, to get
1468 = 896 x 1 + 572
Step 3: We consider the new divisor 896 and the new remainder 572, and apply the division lemma to get
896 = 572 x 1 + 324
We consider the new divisor 572 and the new remainder 324,and apply the division lemma to get
572 = 324 x 1 + 248
We consider the new divisor 324 and the new remainder 248,and apply the division lemma to get
324 = 248 x 1 + 76
We consider the new divisor 248 and the new remainder 76,and apply the division lemma to get
248 = 76 x 3 + 20
We consider the new divisor 76 and the new remainder 20,and apply the division lemma to get
76 = 20 x 3 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1468 and 3832 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(76,20) = HCF(248,76) = HCF(324,248) = HCF(572,324) = HCF(896,572) = HCF(1468,896) = HCF(3832,1468) .
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Frequently Asked Questions on HCF of 1468, 3832 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 1468, 3832?
Answer: HCF of 1468, 3832 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1468, 3832 using Euclid's Algorithm?
Answer: For arbitrary numbers 1468, 3832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.