Highest Common Factor of 5850, 1369 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, 1369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5850, 1369 is 1 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, 1369 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, 1369 is 1.
HCF(5850, 1369) = 1
HCF of 5850, 1369 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, 1369 is 1.
Highest Common Factor of 5850,1369 is 1
Step 1: Since 5850 > 1369, we apply the division lemma to 5850 and 1369, to get
5850 = 1369 x 4 + 374
Step 2: Since the reminder 1369 ≠ 0, we apply division lemma to 374 and 1369, to get
1369 = 374 x 3 + 247
Step 3: We consider the new divisor 374 and the new remainder 247, and apply the division lemma to get
374 = 247 x 1 + 127
We consider the new divisor 247 and the new remainder 127,and apply the division lemma to get
247 = 127 x 1 + 120
We consider the new divisor 127 and the new remainder 120,and apply the division lemma to get
127 = 120 x 1 + 7
We consider the new divisor 120 and the new remainder 7,and apply the division lemma to get
120 = 7 x 17 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5850 and 1369 is 1
Notice that 1 = HCF(7,1) = HCF(120,7) = HCF(127,120) = HCF(247,127) = HCF(374,247) = HCF(1369,374) = HCF(5850,1369) .
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Frequently Asked Questions on HCF of 5850, 1369 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, 1369?
Answer: HCF of 5850, 1369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5850, 1369 using Euclid's Algorithm?
Answer: For arbitrary numbers 5850, 1369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.