Highest Common Factor of 9312, 1194 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 9312, 1194 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 9312, 1194 is 6 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 9312, 1194 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 9312, 1194 is 6.
HCF(9312, 1194) = 6
HCF of 9312, 1194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9312, 1194 is 6.
Highest Common Factor of 9312,1194 is 6
Step 1: Since 9312 > 1194, we apply the division lemma to 9312 and 1194, to get
9312 = 1194 x 7 + 954
Step 2: Since the reminder 1194 ≠ 0, we apply division lemma to 954 and 1194, to get
1194 = 954 x 1 + 240
Step 3: We consider the new divisor 954 and the new remainder 240, and apply the division lemma to get
954 = 240 x 3 + 234
We consider the new divisor 240 and the new remainder 234,and apply the division lemma to get
240 = 234 x 1 + 6
We consider the new divisor 234 and the new remainder 6,and apply the division lemma to get
234 = 6 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9312 and 1194 is 6
Notice that 6 = HCF(234,6) = HCF(240,234) = HCF(954,240) = HCF(1194,954) = HCF(9312,1194) .
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Frequently Asked Questions on HCF of 9312, 1194 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 9312, 1194?
Answer: HCF of 9312, 1194 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9312, 1194 using Euclid's Algorithm?
Answer: For arbitrary numbers 9312, 1194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.