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 630, 798 i.e. 42 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 798 is 42 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 630, 798 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 630, 798 is 42.
HCF(630, 798) = 42
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 798 is 42.
Step 1: Since 798 > 630, we apply the division lemma to 798 and 630, to get
798 = 630 x 1 + 168
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 168 and 630, to get
630 = 168 x 3 + 126
Step 3: We consider the new divisor 168 and the new remainder 126, and apply the division lemma to get
168 = 126 x 1 + 42
We consider the new divisor 126 and the new remainder 42, and apply the division lemma to get
126 = 42 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 630 and 798 is 42
Notice that 42 = HCF(126,42) = HCF(168,126) = HCF(630,168) = HCF(798,630) .
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 630, 798?
Answer: HCF of 630, 798 is 42 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 798 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.