Highest Common Factor of 434, 77108 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, 77108 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 434, 77108 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, 77108 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, 77108 is 2.
HCF(434, 77108) = 2
HCF of 434, 77108 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, 77108 is 2.
Highest Common Factor of 434,77108 is 2
Step 1: Since 77108 > 434, we apply the division lemma to 77108 and 434, to get
77108 = 434 x 177 + 290
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 290 and 434, to get
434 = 290 x 1 + 144
Step 3: We consider the new divisor 290 and the new remainder 144, and apply the division lemma to get
290 = 144 x 2 + 2
We consider the new divisor 144 and the new remainder 2, and apply the division lemma to get
144 = 2 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 434 and 77108 is 2
Notice that 2 = HCF(144,2) = HCF(290,144) = HCF(434,290) = HCF(77108,434) .
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Frequently Asked Questions on HCF of 434, 77108 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, 77108?
Answer: HCF of 434, 77108 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 434, 77108 using Euclid's Algorithm?
Answer: For arbitrary numbers 434, 77108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.