Highest Common Factor of 788, 197 using Euclid's algorithm
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 788, 197 i.e. 197 the largest integer that leaves a remainder zero for all numbers.
HCF of 788, 197 is 197 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 788, 197 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 788, 197 is 197.
HCF(788, 197) = 197
HCF of 788, 197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 788, 197 is 197.
Highest Common Factor of 788,197 is 197
Step 1: Since 788 > 197, we apply the division lemma to 788 and 197, to get
788 = 197 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 197, the HCF of 788 and 197 is 197
Notice that 197 = HCF(788,197) .
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Frequently Asked Questions on HCF of 788, 197 using Euclid's Algorithm
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 788, 197?
Answer: HCF of 788, 197 is 197 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 788, 197 using Euclid's Algorithm?
Answer: For arbitrary numbers 788, 197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.