Highest Common Factor of 5552, 4196 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 5552, 4196 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5552, 4196 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 5552, 4196 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 5552, 4196 is 4.
HCF(5552, 4196) = 4
HCF of 5552, 4196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5552, 4196 is 4.
Highest Common Factor of 5552,4196 is 4
Step 1: Since 5552 > 4196, we apply the division lemma to 5552 and 4196, to get
5552 = 4196 x 1 + 1356
Step 2: Since the reminder 4196 ≠ 0, we apply division lemma to 1356 and 4196, to get
4196 = 1356 x 3 + 128
Step 3: We consider the new divisor 1356 and the new remainder 128, and apply the division lemma to get
1356 = 128 x 10 + 76
We consider the new divisor 128 and the new remainder 76,and apply the division lemma to get
128 = 76 x 1 + 52
We consider the new divisor 76 and the new remainder 52,and apply the division lemma to get
76 = 52 x 1 + 24
We consider the new divisor 52 and the new remainder 24,and apply the division lemma to get
52 = 24 x 2 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5552 and 4196 is 4
Notice that 4 = HCF(24,4) = HCF(52,24) = HCF(76,52) = HCF(128,76) = HCF(1356,128) = HCF(4196,1356) = HCF(5552,4196) .
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Frequently Asked Questions on HCF of 5552, 4196 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 5552, 4196?
Answer: HCF of 5552, 4196 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5552, 4196 using Euclid's Algorithm?
Answer: For arbitrary numbers 5552, 4196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.