Highest Common Factor of 9476, 4252 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 9476, 4252 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9476, 4252 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 9476, 4252 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 9476, 4252 is 4.
HCF(9476, 4252) = 4
HCF of 9476, 4252 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9476, 4252 is 4.
Highest Common Factor of 9476,4252 is 4
Step 1: Since 9476 > 4252, we apply the division lemma to 9476 and 4252, to get
9476 = 4252 x 2 + 972
Step 2: Since the reminder 4252 ≠ 0, we apply division lemma to 972 and 4252, to get
4252 = 972 x 4 + 364
Step 3: We consider the new divisor 972 and the new remainder 364, and apply the division lemma to get
972 = 364 x 2 + 244
We consider the new divisor 364 and the new remainder 244,and apply the division lemma to get
364 = 244 x 1 + 120
We consider the new divisor 244 and the new remainder 120,and apply the division lemma to get
244 = 120 x 2 + 4
We consider the new divisor 120 and the new remainder 4,and apply the division lemma to get
120 = 4 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9476 and 4252 is 4
Notice that 4 = HCF(120,4) = HCF(244,120) = HCF(364,244) = HCF(972,364) = HCF(4252,972) = HCF(9476,4252) .
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Frequently Asked Questions on HCF of 9476, 4252 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 9476, 4252?
Answer: HCF of 9476, 4252 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9476, 4252 using Euclid's Algorithm?
Answer: For arbitrary numbers 9476, 4252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.