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 398, 760 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 398, 760 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 398, 760 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 398, 760 is 2.
HCF(398, 760) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 398, 760 is 2.
Step 1: Since 760 > 398, we apply the division lemma to 760 and 398, to get
760 = 398 x 1 + 362
Step 2: Since the reminder 398 ≠ 0, we apply division lemma to 362 and 398, to get
398 = 362 x 1 + 36
Step 3: We consider the new divisor 362 and the new remainder 36, and apply the division lemma to get
362 = 36 x 10 + 2
We consider the new divisor 36 and the new remainder 2, and apply the division lemma to get
36 = 2 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 398 and 760 is 2
Notice that 2 = HCF(36,2) = HCF(362,36) = HCF(398,362) = HCF(760,398) .
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 398, 760?
Answer: HCF of 398, 760 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 398, 760 using Euclid's Algorithm?
Answer: For arbitrary numbers 398, 760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.