Highest Common Factor of 224, 864, 320 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 224, 864, 320 i.e. 32 the largest integer that leaves a remainder zero for all numbers.
HCF of 224, 864, 320 is 32 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 224, 864, 320 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 224, 864, 320 is 32.
HCF(224, 864, 320) = 32
HCF of 224, 864, 320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 224, 864, 320 is 32.
Highest Common Factor of 224,864,320 is 32
Step 1: Since 864 > 224, we apply the division lemma to 864 and 224, to get
864 = 224 x 3 + 192
Step 2: Since the reminder 224 ≠ 0, we apply division lemma to 192 and 224, to get
224 = 192 x 1 + 32
Step 3: We consider the new divisor 192 and the new remainder 32, and apply the division lemma to get
192 = 32 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 224 and 864 is 32
Notice that 32 = HCF(192,32) = HCF(224,192) = HCF(864,224) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 32, we apply the division lemma to 320 and 32, to get
320 = 32 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 32 and 320 is 32
Notice that 32 = HCF(320,32) .
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Frequently Asked Questions on HCF of 224, 864, 320 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 224, 864, 320?
Answer: HCF of 224, 864, 320 is 32 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 224, 864, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 224, 864, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.