Highest Common Factor of 434, 722 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, 722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 434, 722 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 434, 722 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, 722 is 2.
HCF(434, 722) = 2
HCF of 434, 722 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, 722 is 2.
Highest Common Factor of 434,722 is 2
Step 1: Since 722 > 434, we apply the division lemma to 722 and 434, to get
722 = 434 x 1 + 288
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 288 and 434, to get
434 = 288 x 1 + 146
Step 3: We consider the new divisor 288 and the new remainder 146, and apply the division lemma to get
288 = 146 x 1 + 142
We consider the new divisor 146 and the new remainder 142,and apply the division lemma to get
146 = 142 x 1 + 4
We consider the new divisor 142 and the new remainder 4,and apply the division lemma to get
142 = 4 x 35 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 434 and 722 is 2
Notice that 2 = HCF(4,2) = HCF(142,4) = HCF(146,142) = HCF(288,146) = HCF(434,288) = HCF(722,434) .
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Frequently Asked Questions on HCF of 434, 722 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, 722?
Answer: HCF of 434, 722 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 434, 722 using Euclid's Algorithm?
Answer: For arbitrary numbers 434, 722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.