Highest Common Factor of 3992, 8948, 47056 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 3992, 8948, 47056 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3992, 8948, 47056 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 3992, 8948, 47056 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 3992, 8948, 47056 is 4.
HCF(3992, 8948, 47056) = 4
HCF of 3992, 8948, 47056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3992, 8948, 47056 is 4.
Highest Common Factor of 3992,8948,47056 is 4
Step 1: Since 8948 > 3992, we apply the division lemma to 8948 and 3992, to get
8948 = 3992 x 2 + 964
Step 2: Since the reminder 3992 ≠ 0, we apply division lemma to 964 and 3992, to get
3992 = 964 x 4 + 136
Step 3: We consider the new divisor 964 and the new remainder 136, and apply the division lemma to get
964 = 136 x 7 + 12
We consider the new divisor 136 and the new remainder 12,and apply the division lemma to get
136 = 12 x 11 + 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 3992 and 8948 is 4
Notice that 4 = HCF(12,4) = HCF(136,12) = HCF(964,136) = HCF(3992,964) = HCF(8948,3992) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47056 > 4, we apply the division lemma to 47056 and 4, to get
47056 = 4 x 11764 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 47056 is 4
Notice that 4 = HCF(47056,4) .
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Frequently Asked Questions on HCF of 3992, 8948, 47056 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 3992, 8948, 47056?
Answer: HCF of 3992, 8948, 47056 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3992, 8948, 47056 using Euclid's Algorithm?
Answer: For arbitrary numbers 3992, 8948, 47056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
