Highest Common Factor of 3556, 9752 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 3556, 9752 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3556, 9752 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 3556, 9752 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 3556, 9752 is 4.
HCF(3556, 9752) = 4
HCF of 3556, 9752 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3556, 9752 is 4.
Highest Common Factor of 3556,9752 is 4
Step 1: Since 9752 > 3556, we apply the division lemma to 9752 and 3556, to get
9752 = 3556 x 2 + 2640
Step 2: Since the reminder 3556 ≠ 0, we apply division lemma to 2640 and 3556, to get
3556 = 2640 x 1 + 916
Step 3: We consider the new divisor 2640 and the new remainder 916, and apply the division lemma to get
2640 = 916 x 2 + 808
We consider the new divisor 916 and the new remainder 808,and apply the division lemma to get
916 = 808 x 1 + 108
We consider the new divisor 808 and the new remainder 108,and apply the division lemma to get
808 = 108 x 7 + 52
We consider the new divisor 108 and the new remainder 52,and apply the division lemma to get
108 = 52 x 2 + 4
We consider the new divisor 52 and the new remainder 4,and apply the division lemma to get
52 = 4 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3556 and 9752 is 4
Notice that 4 = HCF(52,4) = HCF(108,52) = HCF(808,108) = HCF(916,808) = HCF(2640,916) = HCF(3556,2640) = HCF(9752,3556) .
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Frequently Asked Questions on HCF of 3556, 9752 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 3556, 9752?
Answer: HCF of 3556, 9752 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3556, 9752 using Euclid's Algorithm?
Answer: For arbitrary numbers 3556, 9752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.