Highest Common Factor of 1434, 3534 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 1434, 3534 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1434, 3534 is 6 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 1434, 3534 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 1434, 3534 is 6.
HCF(1434, 3534) = 6
HCF of 1434, 3534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1434, 3534 is 6.
Highest Common Factor of 1434,3534 is 6
Step 1: Since 3534 > 1434, we apply the division lemma to 3534 and 1434, to get
3534 = 1434 x 2 + 666
Step 2: Since the reminder 1434 ≠ 0, we apply division lemma to 666 and 1434, to get
1434 = 666 x 2 + 102
Step 3: We consider the new divisor 666 and the new remainder 102, and apply the division lemma to get
666 = 102 x 6 + 54
We consider the new divisor 102 and the new remainder 54,and apply the division lemma to get
102 = 54 x 1 + 48
We consider the new divisor 54 and the new remainder 48,and apply the division lemma to get
54 = 48 x 1 + 6
We consider the new divisor 48 and the new remainder 6,and apply the division lemma to get
48 = 6 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1434 and 3534 is 6
Notice that 6 = HCF(48,6) = HCF(54,48) = HCF(102,54) = HCF(666,102) = HCF(1434,666) = HCF(3534,1434) .
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Frequently Asked Questions on HCF of 1434, 3534 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 1434, 3534?
Answer: HCF of 1434, 3534 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1434, 3534 using Euclid's Algorithm?
Answer: For arbitrary numbers 1434, 3534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.