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 837, 620 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 837, 620 is 31 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 837, 620 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 837, 620 is 31.
HCF(837, 620) = 31
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 837, 620 is 31.
Step 1: Since 837 > 620, we apply the division lemma to 837 and 620, to get
837 = 620 x 1 + 217
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 217 and 620, to get
620 = 217 x 2 + 186
Step 3: We consider the new divisor 217 and the new remainder 186, and apply the division lemma to get
217 = 186 x 1 + 31
We consider the new divisor 186 and the new remainder 31, and apply the division lemma to get
186 = 31 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 837 and 620 is 31
Notice that 31 = HCF(186,31) = HCF(217,186) = HCF(620,217) = HCF(837,620) .
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 837, 620?
Answer: HCF of 837, 620 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 837, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 837, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.