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 256, 672, 833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 256, 672, 833 is 1 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 256, 672, 833 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 256, 672, 833 is 1.
HCF(256, 672, 833) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 256, 672, 833 is 1.
Step 1: Since 672 > 256, we apply the division lemma to 672 and 256, to get
672 = 256 x 2 + 160
Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 160 and 256, to get
256 = 160 x 1 + 96
Step 3: We consider the new divisor 160 and the new remainder 96, and apply the division lemma to get
160 = 96 x 1 + 64
We consider the new divisor 96 and the new remainder 64,and apply the division lemma to get
96 = 64 x 1 + 32
We consider the new divisor 64 and the new remainder 32,and apply the division lemma to get
64 = 32 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 256 and 672 is 32
Notice that 32 = HCF(64,32) = HCF(96,64) = HCF(160,96) = HCF(256,160) = HCF(672,256) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 833 > 32, we apply the division lemma to 833 and 32, to get
833 = 32 x 26 + 1
Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 1 and 32, to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 32 and 833 is 1
Notice that 1 = HCF(32,1) = HCF(833,32) .
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 256, 672, 833?
Answer: HCF of 256, 672, 833 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 256, 672, 833 using Euclid's Algorithm?
Answer: For arbitrary numbers 256, 672, 833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.