Highest Common Factor of 9948, 3552, 62658 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 9948, 3552, 62658 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 9948, 3552, 62658 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 9948, 3552, 62658 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 9948, 3552, 62658 is 6.
HCF(9948, 3552, 62658) = 6
HCF of 9948, 3552, 62658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9948, 3552, 62658 is 6.
Highest Common Factor of 9948,3552,62658 is 6
Step 1: Since 9948 > 3552, we apply the division lemma to 9948 and 3552, to get
9948 = 3552 x 2 + 2844
Step 2: Since the reminder 3552 ≠ 0, we apply division lemma to 2844 and 3552, to get
3552 = 2844 x 1 + 708
Step 3: We consider the new divisor 2844 and the new remainder 708, and apply the division lemma to get
2844 = 708 x 4 + 12
We consider the new divisor 708 and the new remainder 12, and apply the division lemma to get
708 = 12 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 9948 and 3552 is 12
Notice that 12 = HCF(708,12) = HCF(2844,708) = HCF(3552,2844) = HCF(9948,3552) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62658 > 12, we apply the division lemma to 62658 and 12, to get
62658 = 12 x 5221 + 6
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 6 and 12, to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 12 and 62658 is 6
Notice that 6 = HCF(12,6) = HCF(62658,12) .
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Frequently Asked Questions on HCF of 9948, 3552, 62658 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 9948, 3552, 62658?
Answer: HCF of 9948, 3552, 62658 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9948, 3552, 62658 using Euclid's Algorithm?
Answer: For arbitrary numbers 9948, 3552, 62658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.