Highest Common Factor of 9748, 852 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 9748, 852 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9748, 852 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 9748, 852 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 9748, 852 is 4.
HCF(9748, 852) = 4
HCF of 9748, 852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9748, 852 is 4.
Highest Common Factor of 9748,852 is 4
Step 1: Since 9748 > 852, we apply the division lemma to 9748 and 852, to get
9748 = 852 x 11 + 376
Step 2: Since the reminder 852 ≠ 0, we apply division lemma to 376 and 852, to get
852 = 376 x 2 + 100
Step 3: We consider the new divisor 376 and the new remainder 100, and apply the division lemma to get
376 = 100 x 3 + 76
We consider the new divisor 100 and the new remainder 76,and apply the division lemma to get
100 = 76 x 1 + 24
We consider the new divisor 76 and the new remainder 24,and apply the division lemma to get
76 = 24 x 3 + 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 9748 and 852 is 4
Notice that 4 = HCF(24,4) = HCF(76,24) = HCF(100,76) = HCF(376,100) = HCF(852,376) = HCF(9748,852) .
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Frequently Asked Questions on HCF of 9748, 852 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 9748, 852?
Answer: HCF of 9748, 852 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9748, 852 using Euclid's Algorithm?
Answer: For arbitrary numbers 9748, 852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.