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 6936, 6358 i.e. 578 the largest integer that leaves a remainder zero for all numbers.
HCF of 6936, 6358 is 578 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 6936, 6358 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 6936, 6358 is 578.
HCF(6936, 6358) = 578
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6936, 6358 is 578.
Step 1: Since 6936 > 6358, we apply the division lemma to 6936 and 6358, to get
6936 = 6358 x 1 + 578
Step 2: Since the reminder 6358 ≠ 0, we apply division lemma to 578 and 6358, to get
6358 = 578 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 578, the HCF of 6936 and 6358 is 578
Notice that 578 = HCF(6358,578) = HCF(6936,6358) .
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 6936, 6358?
Answer: HCF of 6936, 6358 is 578 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6936, 6358 using Euclid's Algorithm?
Answer: For arbitrary numbers 6936, 6358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.