Highest Common Factor of 848, 896, 387, 886 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 848, 896, 387, 886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 896, 387, 886 is 1 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 848, 896, 387, 886 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 848, 896, 387, 886 is 1.
HCF(848, 896, 387, 886) = 1
HCF of 848, 896, 387, 886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 896, 387, 886 is 1.
Highest Common Factor of 848,896,387,886 is 1
Step 1: Since 896 > 848, we apply the division lemma to 896 and 848, to get
896 = 848 x 1 + 48
Step 2: Since the reminder 848 ≠ 0, we apply division lemma to 48 and 848, to get
848 = 48 x 17 + 32
Step 3: We consider the new divisor 48 and the new remainder 32, and apply the division lemma to get
48 = 32 x 1 + 16
We consider the new divisor 32 and the new remainder 16, and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 848 and 896 is 16
Notice that 16 = HCF(32,16) = HCF(48,32) = HCF(848,48) = HCF(896,848) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 387 > 16, we apply the division lemma to 387 and 16, to get
387 = 16 x 24 + 3
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 3 and 16, to get
16 = 3 x 5 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 387 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(387,16) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 886 > 1, we apply the division lemma to 886 and 1, to get
886 = 1 x 886 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 886 is 1
Notice that 1 = HCF(886,1) .
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Frequently Asked Questions on HCF of 848, 896, 387, 886 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 848, 896, 387, 886?
Answer: HCF of 848, 896, 387, 886 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 896, 387, 886 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 896, 387, 886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.