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 670, 57844 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 670, 57844 is 2 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 670, 57844 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 670, 57844 is 2.
HCF(670, 57844) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 670, 57844 is 2.
Step 1: Since 57844 > 670, we apply the division lemma to 57844 and 670, to get
57844 = 670 x 86 + 224
Step 2: Since the reminder 670 ≠ 0, we apply division lemma to 224 and 670, to get
670 = 224 x 2 + 222
Step 3: We consider the new divisor 224 and the new remainder 222, and apply the division lemma to get
224 = 222 x 1 + 2
We consider the new divisor 222 and the new remainder 2, and apply the division lemma to get
222 = 2 x 111 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 670 and 57844 is 2
Notice that 2 = HCF(222,2) = HCF(224,222) = HCF(670,224) = HCF(57844,670) .
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 670, 57844?
Answer: HCF of 670, 57844 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 670, 57844 using Euclid's Algorithm?
Answer: For arbitrary numbers 670, 57844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.