Highest Common Factor of 992, 434, 484 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 992, 434, 484 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 434, 484 is 2 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 992, 434, 484 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 992, 434, 484 is 2.
HCF(992, 434, 484) = 2
HCF of 992, 434, 484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 434, 484 is 2.
Highest Common Factor of 992,434,484 is 2
Step 1: Since 992 > 434, we apply the division lemma to 992 and 434, to get
992 = 434 x 2 + 124
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 124 and 434, to get
434 = 124 x 3 + 62
Step 3: We consider the new divisor 124 and the new remainder 62, and apply the division lemma to get
124 = 62 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 62, the HCF of 992 and 434 is 62
Notice that 62 = HCF(124,62) = HCF(434,124) = HCF(992,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 484 > 62, we apply the division lemma to 484 and 62, to get
484 = 62 x 7 + 50
Step 2: Since the reminder 62 ≠ 0, we apply division lemma to 50 and 62, to get
62 = 50 x 1 + 12
Step 3: We consider the new divisor 50 and the new remainder 12, and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 62 and 484 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(62,50) = HCF(484,62) .
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Frequently Asked Questions on HCF of 992, 434, 484 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 992, 434, 484?
Answer: HCF of 992, 434, 484 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 434, 484 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 434, 484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.