Highest Common Factor of 3948, 1892 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 3948, 1892 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3948, 1892 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 3948, 1892 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 3948, 1892 is 4.
HCF(3948, 1892) = 4
HCF of 3948, 1892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3948, 1892 is 4.
Highest Common Factor of 3948,1892 is 4
Step 1: Since 3948 > 1892, we apply the division lemma to 3948 and 1892, to get
3948 = 1892 x 2 + 164
Step 2: Since the reminder 1892 ≠ 0, we apply division lemma to 164 and 1892, to get
1892 = 164 x 11 + 88
Step 3: We consider the new divisor 164 and the new remainder 88, and apply the division lemma to get
164 = 88 x 1 + 76
We consider the new divisor 88 and the new remainder 76,and apply the division lemma to get
88 = 76 x 1 + 12
We consider the new divisor 76 and the new remainder 12,and apply the division lemma to get
76 = 12 x 6 + 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 3948 and 1892 is 4
Notice that 4 = HCF(12,4) = HCF(76,12) = HCF(88,76) = HCF(164,88) = HCF(1892,164) = HCF(3948,1892) .
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Frequently Asked Questions on HCF of 3948, 1892 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 3948, 1892?
Answer: HCF of 3948, 1892 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3948, 1892 using Euclid's Algorithm?
Answer: For arbitrary numbers 3948, 1892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.