Highest Common Factor of 5948, 9876 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 5948, 9876 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5948, 9876 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 5948, 9876 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 5948, 9876 is 4.
HCF(5948, 9876) = 4
HCF of 5948, 9876 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5948, 9876 is 4.
Highest Common Factor of 5948,9876 is 4
Step 1: Since 9876 > 5948, we apply the division lemma to 9876 and 5948, to get
9876 = 5948 x 1 + 3928
Step 2: Since the reminder 5948 ≠ 0, we apply division lemma to 3928 and 5948, to get
5948 = 3928 x 1 + 2020
Step 3: We consider the new divisor 3928 and the new remainder 2020, and apply the division lemma to get
3928 = 2020 x 1 + 1908
We consider the new divisor 2020 and the new remainder 1908,and apply the division lemma to get
2020 = 1908 x 1 + 112
We consider the new divisor 1908 and the new remainder 112,and apply the division lemma to get
1908 = 112 x 17 + 4
We consider the new divisor 112 and the new remainder 4,and apply the division lemma to get
112 = 4 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5948 and 9876 is 4
Notice that 4 = HCF(112,4) = HCF(1908,112) = HCF(2020,1908) = HCF(3928,2020) = HCF(5948,3928) = HCF(9876,5948) .
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Frequently Asked Questions on HCF of 5948, 9876 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 5948, 9876?
Answer: HCF of 5948, 9876 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5948, 9876 using Euclid's Algorithm?
Answer: For arbitrary numbers 5948, 9876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.