Highest Common Factor of 184, 672, 884 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 184, 672, 884 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 184, 672, 884 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 184, 672, 884 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 184, 672, 884 is 4.
HCF(184, 672, 884) = 4
HCF of 184, 672, 884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 184, 672, 884 is 4.
Highest Common Factor of 184,672,884 is 4
Step 1: Since 672 > 184, we apply the division lemma to 672 and 184, to get
672 = 184 x 3 + 120
Step 2: Since the reminder 184 ≠ 0, we apply division lemma to 120 and 184, to get
184 = 120 x 1 + 64
Step 3: We consider the new divisor 120 and the new remainder 64, and apply the division lemma to get
120 = 64 x 1 + 56
We consider the new divisor 64 and the new remainder 56,and apply the division lemma to get
64 = 56 x 1 + 8
We consider the new divisor 56 and the new remainder 8,and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 184 and 672 is 8
Notice that 8 = HCF(56,8) = HCF(64,56) = HCF(120,64) = HCF(184,120) = HCF(672,184) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 884 > 8, we apply the division lemma to 884 and 8, to get
884 = 8 x 110 + 4
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 4 and 8, to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8 and 884 is 4
Notice that 4 = HCF(8,4) = HCF(884,8) .
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Frequently Asked Questions on HCF of 184, 672, 884 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 184, 672, 884?
Answer: HCF of 184, 672, 884 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 184, 672, 884 using Euclid's Algorithm?
Answer: For arbitrary numbers 184, 672, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.