Highest Common Factor of 952, 3302 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 952, 3302 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 952, 3302 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 952, 3302 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 952, 3302 is 2.
HCF(952, 3302) = 2
HCF of 952, 3302 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 952, 3302 is 2.
Highest Common Factor of 952,3302 is 2
Step 1: Since 3302 > 952, we apply the division lemma to 3302 and 952, to get
3302 = 952 x 3 + 446
Step 2: Since the reminder 952 ≠ 0, we apply division lemma to 446 and 952, to get
952 = 446 x 2 + 60
Step 3: We consider the new divisor 446 and the new remainder 60, and apply the division lemma to get
446 = 60 x 7 + 26
We consider the new divisor 60 and the new remainder 26,and apply the division lemma to get
60 = 26 x 2 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 952 and 3302 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(60,26) = HCF(446,60) = HCF(952,446) = HCF(3302,952) .
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Frequently Asked Questions on HCF of 952, 3302 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 952, 3302?
Answer: HCF of 952, 3302 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 952, 3302 using Euclid's Algorithm?
Answer: For arbitrary numbers 952, 3302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.