Highest Common Factor of 952, 4644 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 952, 4644 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 952, 4644 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 952, 4644 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 952, 4644 is 4.
HCF(952, 4644) = 4
HCF of 952, 4644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 952, 4644 is 4.
Highest Common Factor of 952,4644 is 4
Step 1: Since 4644 > 952, we apply the division lemma to 4644 and 952, to get
4644 = 952 x 4 + 836
Step 2: Since the reminder 952 ≠ 0, we apply division lemma to 836 and 952, to get
952 = 836 x 1 + 116
Step 3: We consider the new divisor 836 and the new remainder 116, and apply the division lemma to get
836 = 116 x 7 + 24
We consider the new divisor 116 and the new remainder 24,and apply the division lemma to get
116 = 24 x 4 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 952 and 4644 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(116,24) = HCF(836,116) = HCF(952,836) = HCF(4644,952) .
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Frequently Asked Questions on HCF of 952, 4644 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 952, 4644?
Answer: HCF of 952, 4644 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 952, 4644 using Euclid's Algorithm?
Answer: For arbitrary numbers 952, 4644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.