Highest Common Factor of 508, 956, 342 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 508, 956, 342 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 508, 956, 342 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 508, 956, 342 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 508, 956, 342 is 2.
HCF(508, 956, 342) = 2
HCF of 508, 956, 342 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 508, 956, 342 is 2.
Highest Common Factor of 508,956,342 is 2
Step 1: Since 956 > 508, we apply the division lemma to 956 and 508, to get
956 = 508 x 1 + 448
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 448 and 508, to get
508 = 448 x 1 + 60
Step 3: We consider the new divisor 448 and the new remainder 60, and apply the division lemma to get
448 = 60 x 7 + 28
We consider the new divisor 60 and the new remainder 28,and apply the division lemma to get
60 = 28 x 2 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 508 and 956 is 4
Notice that 4 = HCF(28,4) = HCF(60,28) = HCF(448,60) = HCF(508,448) = HCF(956,508) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 342 > 4, we apply the division lemma to 342 and 4, to get
342 = 4 x 85 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 342 is 2
Notice that 2 = HCF(4,2) = HCF(342,4) .
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Frequently Asked Questions on HCF of 508, 956, 342 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 508, 956, 342?
Answer: HCF of 508, 956, 342 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 508, 956, 342 using Euclid's Algorithm?
Answer: For arbitrary numbers 508, 956, 342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.