Highest Common Factor of 832, 512, 961 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 832, 512, 961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 832, 512, 961 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 832, 512, 961 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 832, 512, 961 is 1.
HCF(832, 512, 961) = 1
HCF of 832, 512, 961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 832, 512, 961 is 1.
Highest Common Factor of 832,512,961 is 1
Step 1: Since 832 > 512, we apply the division lemma to 832 and 512, to get
832 = 512 x 1 + 320
Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 320 and 512, to get
512 = 320 x 1 + 192
Step 3: We consider the new divisor 320 and the new remainder 192, and apply the division lemma to get
320 = 192 x 1 + 128
We consider the new divisor 192 and the new remainder 128,and apply the division lemma to get
192 = 128 x 1 + 64
We consider the new divisor 128 and the new remainder 64,and apply the division lemma to get
128 = 64 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 64, the HCF of 832 and 512 is 64
Notice that 64 = HCF(128,64) = HCF(192,128) = HCF(320,192) = HCF(512,320) = HCF(832,512) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 961 > 64, we apply the division lemma to 961 and 64, to get
961 = 64 x 15 + 1
Step 2: Since the reminder 64 ≠ 0, we apply division lemma to 1 and 64, to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 64 and 961 is 1
Notice that 1 = HCF(64,1) = HCF(961,64) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 832, 512, 961 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 832, 512, 961?
Answer: HCF of 832, 512, 961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 832, 512, 961 using Euclid's Algorithm?
Answer: For arbitrary numbers 832, 512, 961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
