Highest Common Factor of 5346, 9372 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 5346, 9372 i.e. 66 the largest integer that leaves a remainder zero for all numbers.
HCF of 5346, 9372 is 66 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 5346, 9372 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 5346, 9372 is 66.
HCF(5346, 9372) = 66
HCF of 5346, 9372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5346, 9372 is 66.
Highest Common Factor of 5346,9372 is 66
Step 1: Since 9372 > 5346, we apply the division lemma to 9372 and 5346, to get
9372 = 5346 x 1 + 4026
Step 2: Since the reminder 5346 ≠ 0, we apply division lemma to 4026 and 5346, to get
5346 = 4026 x 1 + 1320
Step 3: We consider the new divisor 4026 and the new remainder 1320, and apply the division lemma to get
4026 = 1320 x 3 + 66
We consider the new divisor 1320 and the new remainder 66, and apply the division lemma to get
1320 = 66 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 5346 and 9372 is 66
Notice that 66 = HCF(1320,66) = HCF(4026,1320) = HCF(5346,4026) = HCF(9372,5346) .
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Frequently Asked Questions on HCF of 5346, 9372 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 5346, 9372?
Answer: HCF of 5346, 9372 is 66 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5346, 9372 using Euclid's Algorithm?
Answer: For arbitrary numbers 5346, 9372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
