Highest Common Factor of 918, 8839 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 918, 8839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 8839 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 918, 8839 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 918, 8839 is 1.
HCF(918, 8839) = 1
HCF of 918, 8839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 8839 is 1.
Highest Common Factor of 918,8839 is 1
Step 1: Since 8839 > 918, we apply the division lemma to 8839 and 918, to get
8839 = 918 x 9 + 577
Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 577 and 918, to get
918 = 577 x 1 + 341
Step 3: We consider the new divisor 577 and the new remainder 341, and apply the division lemma to get
577 = 341 x 1 + 236
We consider the new divisor 341 and the new remainder 236,and apply the division lemma to get
341 = 236 x 1 + 105
We consider the new divisor 236 and the new remainder 105,and apply the division lemma to get
236 = 105 x 2 + 26
We consider the new divisor 105 and the new remainder 26,and apply the division lemma to get
105 = 26 x 4 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 918 and 8839 is 1
Notice that 1 = HCF(26,1) = HCF(105,26) = HCF(236,105) = HCF(341,236) = HCF(577,341) = HCF(918,577) = HCF(8839,918) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 918, 8839 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 918, 8839?
Answer: HCF of 918, 8839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 8839 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 8839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
