Highest Common Factor of 292, 404 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 292, 404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 292, 404 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 292, 404 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 292, 404 is 4.
HCF(292, 404) = 4
HCF of 292, 404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 292, 404 is 4.
Highest Common Factor of 292,404 is 4
Step 1: Since 404 > 292, we apply the division lemma to 404 and 292, to get
404 = 292 x 1 + 112
Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 112 and 292, to get
292 = 112 x 2 + 68
Step 3: We consider the new divisor 112 and the new remainder 68, and apply the division lemma to get
112 = 68 x 1 + 44
We consider the new divisor 68 and the new remainder 44,and apply the division lemma to get
68 = 44 x 1 + 24
We consider the new divisor 44 and the new remainder 24,and apply the division lemma to get
44 = 24 x 1 + 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 292 and 404 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(44,24) = HCF(68,44) = HCF(112,68) = HCF(292,112) = HCF(404,292) .
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Frequently Asked Questions on HCF of 292, 404 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 292, 404?
Answer: HCF of 292, 404 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 292, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 292, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.