Highest Common Factor of 304, 184 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 304, 184 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 304, 184 is 8 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 304, 184 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 304, 184 is 8.
HCF(304, 184) = 8
HCF of 304, 184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 304, 184 is 8.
Highest Common Factor of 304,184 is 8
Step 1: Since 304 > 184, we apply the division lemma to 304 and 184, to get
304 = 184 x 1 + 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 304 and 184 is 8
Notice that 8 = HCF(56,8) = HCF(64,56) = HCF(120,64) = HCF(184,120) = HCF(304,184) .
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Frequently Asked Questions on HCF of 304, 184 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 304, 184?
Answer: HCF of 304, 184 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 304, 184 using Euclid's Algorithm?
Answer: For arbitrary numbers 304, 184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.