Highest Common Factor of 5850, 6848 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 5850, 6848 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5850, 6848 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 5850, 6848 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 5850, 6848 is 2.
HCF(5850, 6848) = 2
HCF of 5850, 6848 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5850, 6848 is 2.
Highest Common Factor of 5850,6848 is 2
Step 1: Since 6848 > 5850, we apply the division lemma to 6848 and 5850, to get
6848 = 5850 x 1 + 998
Step 2: Since the reminder 5850 ≠ 0, we apply division lemma to 998 and 5850, to get
5850 = 998 x 5 + 860
Step 3: We consider the new divisor 998 and the new remainder 860, and apply the division lemma to get
998 = 860 x 1 + 138
We consider the new divisor 860 and the new remainder 138,and apply the division lemma to get
860 = 138 x 6 + 32
We consider the new divisor 138 and the new remainder 32,and apply the division lemma to get
138 = 32 x 4 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5850 and 6848 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(138,32) = HCF(860,138) = HCF(998,860) = HCF(5850,998) = HCF(6848,5850) .
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Frequently Asked Questions on HCF of 5850, 6848 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 5850, 6848?
Answer: HCF of 5850, 6848 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5850, 6848 using Euclid's Algorithm?
Answer: For arbitrary numbers 5850, 6848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.