Highest Common Factor of 4482, 4725 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 4482, 4725 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 4482, 4725 is 27 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 4482, 4725 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 4482, 4725 is 27.
HCF(4482, 4725) = 27
HCF of 4482, 4725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4482, 4725 is 27.
Highest Common Factor of 4482,4725 is 27
Step 1: Since 4725 > 4482, we apply the division lemma to 4725 and 4482, to get
4725 = 4482 x 1 + 243
Step 2: Since the reminder 4482 ≠ 0, we apply division lemma to 243 and 4482, to get
4482 = 243 x 18 + 108
Step 3: We consider the new divisor 243 and the new remainder 108, and apply the division lemma to get
243 = 108 x 2 + 27
We consider the new divisor 108 and the new remainder 27, and apply the division lemma to get
108 = 27 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 4482 and 4725 is 27
Notice that 27 = HCF(108,27) = HCF(243,108) = HCF(4482,243) = HCF(4725,4482) .
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Frequently Asked Questions on HCF of 4482, 4725 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 4482, 4725?
Answer: HCF of 4482, 4725 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4482, 4725 using Euclid's Algorithm?
Answer: For arbitrary numbers 4482, 4725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.