Highest Common Factor of 9317, 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 9317, 952 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9317, 952 is 7 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 9317, 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 9317, 952 is 7.
HCF(9317, 952) = 7
HCF of 9317, 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 9317, 952 is 7.
Highest Common Factor of 9317,952 is 7
Step 1: Since 9317 > 952, we apply the division lemma to 9317 and 952, to get
9317 = 952 x 9 + 749
Step 2: Since the reminder 952 ≠ 0, we apply division lemma to 749 and 952, to get
952 = 749 x 1 + 203
Step 3: We consider the new divisor 749 and the new remainder 203, and apply the division lemma to get
749 = 203 x 3 + 140
We consider the new divisor 203 and the new remainder 140,and apply the division lemma to get
203 = 140 x 1 + 63
We consider the new divisor 140 and the new remainder 63,and apply the division lemma to get
140 = 63 x 2 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9317 and 952 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(140,63) = HCF(203,140) = HCF(749,203) = HCF(952,749) = HCF(9317,952) .
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Frequently Asked Questions on HCF of 9317, 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 9317, 952?
Answer: HCF of 9317, 952 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9317, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 9317, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.