Highest Common Factor of 1879, 6502 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 1879, 6502 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1879, 6502 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 1879, 6502 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 1879, 6502 is 1.
HCF(1879, 6502) = 1
HCF of 1879, 6502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1879, 6502 is 1.
Highest Common Factor of 1879,6502 is 1
Step 1: Since 6502 > 1879, we apply the division lemma to 6502 and 1879, to get
6502 = 1879 x 3 + 865
Step 2: Since the reminder 1879 ≠ 0, we apply division lemma to 865 and 1879, to get
1879 = 865 x 2 + 149
Step 3: We consider the new divisor 865 and the new remainder 149, and apply the division lemma to get
865 = 149 x 5 + 120
We consider the new divisor 149 and the new remainder 120,and apply the division lemma to get
149 = 120 x 1 + 29
We consider the new divisor 120 and the new remainder 29,and apply the division lemma to get
120 = 29 x 4 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1879 and 6502 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(120,29) = HCF(149,120) = HCF(865,149) = HCF(1879,865) = HCF(6502,1879) .
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Frequently Asked Questions on HCF of 1879, 6502 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 1879, 6502?
Answer: HCF of 1879, 6502 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1879, 6502 using Euclid's Algorithm?
Answer: For arbitrary numbers 1879, 6502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.