Highest Common Factor of 356, 534 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 356, 534 i.e. 178 the largest integer that leaves a remainder zero for all numbers.
HCF of 356, 534 is 178 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 356, 534 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 356, 534 is 178.
HCF(356, 534) = 178
HCF of 356, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 356, 534 is 178.
Highest Common Factor of 356,534 is 178
Step 1: Since 534 > 356, we apply the division lemma to 534 and 356, to get
534 = 356 x 1 + 178
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 178 and 356, to get
356 = 178 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 178, the HCF of 356 and 534 is 178
Notice that 178 = HCF(356,178) = HCF(534,356) .
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Frequently Asked Questions on HCF of 356, 534 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 356, 534?
Answer: HCF of 356, 534 is 178 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 356, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 356, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.