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, 472 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 304, 472 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, 472 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, 472 is 8.
HCF(304, 472) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 304, 472 is 8.
Step 1: Since 472 > 304, we apply the division lemma to 472 and 304, to get
472 = 304 x 1 + 168
Step 2: Since the reminder 304 ≠ 0, we apply division lemma to 168 and 304, to get
304 = 168 x 1 + 136
Step 3: We consider the new divisor 168 and the new remainder 136, and apply the division lemma to get
168 = 136 x 1 + 32
We consider the new divisor 136 and the new remainder 32,and apply the division lemma to get
136 = 32 x 4 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 304 and 472 is 8
Notice that 8 = HCF(32,8) = HCF(136,32) = HCF(168,136) = HCF(304,168) = HCF(472,304) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 472?
Answer: HCF of 304, 472 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 304, 472 using Euclid's Algorithm?
Answer: For arbitrary numbers 304, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.