Highest Common Factor of 8256, 4768 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 8256, 4768 i.e. 32 the largest integer that leaves a remainder zero for all numbers.
HCF of 8256, 4768 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 8256, 4768 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 8256, 4768 is 32.
HCF(8256, 4768) = 32
HCF of 8256, 4768 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8256, 4768 is 32.
Highest Common Factor of 8256,4768 is 32
Step 1: Since 8256 > 4768, we apply the division lemma to 8256 and 4768, to get
8256 = 4768 x 1 + 3488
Step 2: Since the reminder 4768 ≠ 0, we apply division lemma to 3488 and 4768, to get
4768 = 3488 x 1 + 1280
Step 3: We consider the new divisor 3488 and the new remainder 1280, and apply the division lemma to get
3488 = 1280 x 2 + 928
We consider the new divisor 1280 and the new remainder 928,and apply the division lemma to get
1280 = 928 x 1 + 352
We consider the new divisor 928 and the new remainder 352,and apply the division lemma to get
928 = 352 x 2 + 224
We consider the new divisor 352 and the new remainder 224,and apply the division lemma to get
352 = 224 x 1 + 128
We consider the new divisor 224 and the new remainder 128,and apply the division lemma to get
224 = 128 x 1 + 96
We consider the new divisor 128 and the new remainder 96,and apply the division lemma to get
128 = 96 x 1 + 32
We consider the new divisor 96 and the new remainder 32,and apply the division lemma to get
96 = 32 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 8256 and 4768 is 32
Notice that 32 = HCF(96,32) = HCF(128,96) = HCF(224,128) = HCF(352,224) = HCF(928,352) = HCF(1280,928) = HCF(3488,1280) = HCF(4768,3488) = HCF(8256,4768) .
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Frequently Asked Questions on HCF of 8256, 4768 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 8256, 4768?
Answer: HCF of 8256, 4768 is 32 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8256, 4768 using Euclid's Algorithm?
Answer: For arbitrary numbers 8256, 4768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.