Highest Common Factor of 9548, 3028 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 9548, 3028 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9548, 3028 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 9548, 3028 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 9548, 3028 is 4.
HCF(9548, 3028) = 4
HCF of 9548, 3028 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9548, 3028 is 4.
Highest Common Factor of 9548,3028 is 4
Step 1: Since 9548 > 3028, we apply the division lemma to 9548 and 3028, to get
9548 = 3028 x 3 + 464
Step 2: Since the reminder 3028 ≠ 0, we apply division lemma to 464 and 3028, to get
3028 = 464 x 6 + 244
Step 3: We consider the new divisor 464 and the new remainder 244, and apply the division lemma to get
464 = 244 x 1 + 220
We consider the new divisor 244 and the new remainder 220,and apply the division lemma to get
244 = 220 x 1 + 24
We consider the new divisor 220 and the new remainder 24,and apply the division lemma to get
220 = 24 x 9 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9548 and 3028 is 4
Notice that 4 = HCF(24,4) = HCF(220,24) = HCF(244,220) = HCF(464,244) = HCF(3028,464) = HCF(9548,3028) .
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Frequently Asked Questions on HCF of 9548, 3028 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 9548, 3028?
Answer: HCF of 9548, 3028 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9548, 3028 using Euclid's Algorithm?
Answer: For arbitrary numbers 9548, 3028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.