Highest Common Factor of 434, 546, 883 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 434, 546, 883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 434, 546, 883 is 1 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 434, 546, 883 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 434, 546, 883 is 1.
HCF(434, 546, 883) = 1
HCF of 434, 546, 883 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 434, 546, 883 is 1.
Highest Common Factor of 434,546,883 is 1
Step 1: Since 546 > 434, we apply the division lemma to 546 and 434, to get
546 = 434 x 1 + 112
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 112 and 434, to get
434 = 112 x 3 + 98
Step 3: We consider the new divisor 112 and the new remainder 98, and apply the division lemma to get
112 = 98 x 1 + 14
We consider the new divisor 98 and the new remainder 14, and apply the division lemma to get
98 = 14 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 434 and 546 is 14
Notice that 14 = HCF(98,14) = HCF(112,98) = HCF(434,112) = HCF(546,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 14, we apply the division lemma to 883 and 14, to get
883 = 14 x 63 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 883 is 1
Notice that 1 = HCF(14,1) = HCF(883,14) .
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Frequently Asked Questions on HCF of 434, 546, 883 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 434, 546, 883?
Answer: HCF of 434, 546, 883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 434, 546, 883 using Euclid's Algorithm?
Answer: For arbitrary numbers 434, 546, 883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
