Highest Common Factor of 356, 142, 528 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, 142, 528 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 356, 142, 528 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 356, 142, 528 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, 142, 528 is 2.
HCF(356, 142, 528) = 2
HCF of 356, 142, 528 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, 142, 528 is 2.
Highest Common Factor of 356,142,528 is 2
Step 1: Since 356 > 142, we apply the division lemma to 356 and 142, to get
356 = 142 x 2 + 72
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 72 and 142, to get
142 = 72 x 1 + 70
Step 3: We consider the new divisor 72 and the new remainder 70, and apply the division lemma to get
72 = 70 x 1 + 2
We consider the new divisor 70 and the new remainder 2, and apply the division lemma to get
70 = 2 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 356 and 142 is 2
Notice that 2 = HCF(70,2) = HCF(72,70) = HCF(142,72) = HCF(356,142) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 528 > 2, we apply the division lemma to 528 and 2, to get
528 = 2 x 264 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 528 is 2
Notice that 2 = HCF(528,2) .
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Frequently Asked Questions on HCF of 356, 142, 528 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, 142, 528?
Answer: HCF of 356, 142, 528 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 356, 142, 528 using Euclid's Algorithm?
Answer: For arbitrary numbers 356, 142, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.