Highest Common Factor of 758, 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 758, 952 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 758, 952 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 758, 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 758, 952 is 2.
HCF(758, 952) = 2
HCF of 758, 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 758, 952 is 2.
Highest Common Factor of 758,952 is 2
Step 1: Since 952 > 758, we apply the division lemma to 952 and 758, to get
952 = 758 x 1 + 194
Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 194 and 758, to get
758 = 194 x 3 + 176
Step 3: We consider the new divisor 194 and the new remainder 176, and apply the division lemma to get
194 = 176 x 1 + 18
We consider the new divisor 176 and the new remainder 18,and apply the division lemma to get
176 = 18 x 9 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 758 and 952 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(176,18) = HCF(194,176) = HCF(758,194) = HCF(952,758) .
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Frequently Asked Questions on HCF of 758, 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 758, 952?
Answer: HCF of 758, 952 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 758, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 758, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
