Highest Common Factor of 170, 952 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 170, 952 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 170, 952 is 34 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 170, 952 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 170, 952 is 34.
HCF(170, 952) = 34
HCF of 170, 952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 170, 952 is 34.
Highest Common Factor of 170,952 is 34
Step 1: Since 952 > 170, we apply the division lemma to 952 and 170, to get
952 = 170 x 5 + 102
Step 2: Since the reminder 170 ≠ 0, we apply division lemma to 102 and 170, to get
170 = 102 x 1 + 68
Step 3: We consider the new divisor 102 and the new remainder 68, and apply the division lemma to get
102 = 68 x 1 + 34
We consider the new divisor 68 and the new remainder 34, and apply the division lemma to get
68 = 34 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 170 and 952 is 34
Notice that 34 = HCF(68,34) = HCF(102,68) = HCF(170,102) = HCF(952,170) .
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Frequently Asked Questions on HCF of 170, 952 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 170, 952?
Answer: HCF of 170, 952 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 170, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 170, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.