Highest Common Factor of 4296, 4748 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 4296, 4748 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4296, 4748 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 4296, 4748 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 4296, 4748 is 4.
HCF(4296, 4748) = 4
HCF of 4296, 4748 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4296, 4748 is 4.
Highest Common Factor of 4296,4748 is 4
Step 1: Since 4748 > 4296, we apply the division lemma to 4748 and 4296, to get
4748 = 4296 x 1 + 452
Step 2: Since the reminder 4296 ≠ 0, we apply division lemma to 452 and 4296, to get
4296 = 452 x 9 + 228
Step 3: We consider the new divisor 452 and the new remainder 228, and apply the division lemma to get
452 = 228 x 1 + 224
We consider the new divisor 228 and the new remainder 224,and apply the division lemma to get
228 = 224 x 1 + 4
We consider the new divisor 224 and the new remainder 4,and apply the division lemma to get
224 = 4 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4296 and 4748 is 4
Notice that 4 = HCF(224,4) = HCF(228,224) = HCF(452,228) = HCF(4296,452) = HCF(4748,4296) .
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Frequently Asked Questions on HCF of 4296, 4748 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 4296, 4748?
Answer: HCF of 4296, 4748 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4296, 4748 using Euclid's Algorithm?
Answer: For arbitrary numbers 4296, 4748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.