Highest Common Factor of 9878, 5976 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 9878, 5976 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9878, 5976 is 2 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 9878, 5976 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 9878, 5976 is 2.
HCF(9878, 5976) = 2
HCF of 9878, 5976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9878, 5976 is 2.
Highest Common Factor of 9878,5976 is 2
Step 1: Since 9878 > 5976, we apply the division lemma to 9878 and 5976, to get
9878 = 5976 x 1 + 3902
Step 2: Since the reminder 5976 ≠ 0, we apply division lemma to 3902 and 5976, to get
5976 = 3902 x 1 + 2074
Step 3: We consider the new divisor 3902 and the new remainder 2074, and apply the division lemma to get
3902 = 2074 x 1 + 1828
We consider the new divisor 2074 and the new remainder 1828,and apply the division lemma to get
2074 = 1828 x 1 + 246
We consider the new divisor 1828 and the new remainder 246,and apply the division lemma to get
1828 = 246 x 7 + 106
We consider the new divisor 246 and the new remainder 106,and apply the division lemma to get
246 = 106 x 2 + 34
We consider the new divisor 106 and the new remainder 34,and apply the division lemma to get
106 = 34 x 3 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9878 and 5976 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(106,34) = HCF(246,106) = HCF(1828,246) = HCF(2074,1828) = HCF(3902,2074) = HCF(5976,3902) = HCF(9878,5976) .
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Frequently Asked Questions on HCF of 9878, 5976 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 9878, 5976?
Answer: HCF of 9878, 5976 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9878, 5976 using Euclid's Algorithm?
Answer: For arbitrary numbers 9878, 5976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.