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 456, 904, 532 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 456, 904, 532 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 456, 904, 532 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 456, 904, 532 is 4.
HCF(456, 904, 532) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 456, 904, 532 is 4.
Step 1: Since 904 > 456, we apply the division lemma to 904 and 456, to get
904 = 456 x 1 + 448
Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 448 and 456, to get
456 = 448 x 1 + 8
Step 3: We consider the new divisor 448 and the new remainder 8, and apply the division lemma to get
448 = 8 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 456 and 904 is 8
Notice that 8 = HCF(448,8) = HCF(456,448) = HCF(904,456) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 532 > 8, we apply the division lemma to 532 and 8, to get
532 = 8 x 66 + 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 532 is 4
Notice that 4 = HCF(8,4) = HCF(532,8) .
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 456, 904, 532?
Answer: HCF of 456, 904, 532 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 456, 904, 532 using Euclid's Algorithm?
Answer: For arbitrary numbers 456, 904, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.