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 598, 8234 i.e. 46 the largest integer that leaves a remainder zero for all numbers.
HCF of 598, 8234 is 46 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 598, 8234 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 598, 8234 is 46.
HCF(598, 8234) = 46
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 598, 8234 is 46.
Step 1: Since 8234 > 598, we apply the division lemma to 8234 and 598, to get
8234 = 598 x 13 + 460
Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 460 and 598, to get
598 = 460 x 1 + 138
Step 3: We consider the new divisor 460 and the new remainder 138, and apply the division lemma to get
460 = 138 x 3 + 46
We consider the new divisor 138 and the new remainder 46, and apply the division lemma to get
138 = 46 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 598 and 8234 is 46
Notice that 46 = HCF(138,46) = HCF(460,138) = HCF(598,460) = HCF(8234,598) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 598, 8234?
Answer: HCF of 598, 8234 is 46 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 598, 8234 using Euclid's Algorithm?
Answer: For arbitrary numbers 598, 8234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.