Highest Common Factor of 9736, 5380 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 9736, 5380 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9736, 5380 is 4 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 9736, 5380 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 9736, 5380 is 4.
HCF(9736, 5380) = 4
HCF of 9736, 5380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9736, 5380 is 4.
Highest Common Factor of 9736,5380 is 4
Step 1: Since 9736 > 5380, we apply the division lemma to 9736 and 5380, to get
9736 = 5380 x 1 + 4356
Step 2: Since the reminder 5380 ≠ 0, we apply division lemma to 4356 and 5380, to get
5380 = 4356 x 1 + 1024
Step 3: We consider the new divisor 4356 and the new remainder 1024, and apply the division lemma to get
4356 = 1024 x 4 + 260
We consider the new divisor 1024 and the new remainder 260,and apply the division lemma to get
1024 = 260 x 3 + 244
We consider the new divisor 260 and the new remainder 244,and apply the division lemma to get
260 = 244 x 1 + 16
We consider the new divisor 244 and the new remainder 16,and apply the division lemma to get
244 = 16 x 15 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9736 and 5380 is 4
Notice that 4 = HCF(16,4) = HCF(244,16) = HCF(260,244) = HCF(1024,260) = HCF(4356,1024) = HCF(5380,4356) = HCF(9736,5380) .
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Frequently Asked Questions on HCF of 9736, 5380 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 9736, 5380?
Answer: HCF of 9736, 5380 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9736, 5380 using Euclid's Algorithm?
Answer: For arbitrary numbers 9736, 5380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.