Highest Common Factor of 868, 178, 352 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 868, 178, 352 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 178, 352 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 868, 178, 352 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 868, 178, 352 is 2.
HCF(868, 178, 352) = 2
HCF of 868, 178, 352 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 178, 352 is 2.
Highest Common Factor of 868,178,352 is 2
Step 1: Since 868 > 178, we apply the division lemma to 868 and 178, to get
868 = 178 x 4 + 156
Step 2: Since the reminder 178 ≠ 0, we apply division lemma to 156 and 178, to get
178 = 156 x 1 + 22
Step 3: We consider the new divisor 156 and the new remainder 22, and apply the division lemma to get
156 = 22 x 7 + 2
We consider the new divisor 22 and the new remainder 2, and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 868 and 178 is 2
Notice that 2 = HCF(22,2) = HCF(156,22) = HCF(178,156) = HCF(868,178) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 352 > 2, we apply the division lemma to 352 and 2, to get
352 = 2 x 176 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 352 is 2
Notice that 2 = HCF(352,2) .
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Frequently Asked Questions on HCF of 868, 178, 352 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 868, 178, 352?
Answer: HCF of 868, 178, 352 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 178, 352 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 178, 352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.