Highest Common Factor of 1832, 3278 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 1832, 3278 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1832, 3278 is 2 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 1832, 3278 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 1832, 3278 is 2.
HCF(1832, 3278) = 2
HCF of 1832, 3278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1832, 3278 is 2.
Highest Common Factor of 1832,3278 is 2
Step 1: Since 3278 > 1832, we apply the division lemma to 3278 and 1832, to get
3278 = 1832 x 1 + 1446
Step 2: Since the reminder 1832 ≠ 0, we apply division lemma to 1446 and 1832, to get
1832 = 1446 x 1 + 386
Step 3: We consider the new divisor 1446 and the new remainder 386, and apply the division lemma to get
1446 = 386 x 3 + 288
We consider the new divisor 386 and the new remainder 288,and apply the division lemma to get
386 = 288 x 1 + 98
We consider the new divisor 288 and the new remainder 98,and apply the division lemma to get
288 = 98 x 2 + 92
We consider the new divisor 98 and the new remainder 92,and apply the division lemma to get
98 = 92 x 1 + 6
We consider the new divisor 92 and the new remainder 6,and apply the division lemma to get
92 = 6 x 15 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1832 and 3278 is 2
Notice that 2 = HCF(6,2) = HCF(92,6) = HCF(98,92) = HCF(288,98) = HCF(386,288) = HCF(1446,386) = HCF(1832,1446) = HCF(3278,1832) .
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Frequently Asked Questions on HCF of 1832, 3278 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 1832, 3278?
Answer: HCF of 1832, 3278 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1832, 3278 using Euclid's Algorithm?
Answer: For arbitrary numbers 1832, 3278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
