Highest Common Factor of 648, 997 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 648, 997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 648, 997 is 1 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 648, 997 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 648, 997 is 1.
HCF(648, 997) = 1
HCF of 648, 997 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 648, 997 is 1.
Highest Common Factor of 648,997 is 1
Step 1: Since 997 > 648, we apply the division lemma to 997 and 648, to get
997 = 648 x 1 + 349
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 349 and 648, to get
648 = 349 x 1 + 299
Step 3: We consider the new divisor 349 and the new remainder 299, and apply the division lemma to get
349 = 299 x 1 + 50
We consider the new divisor 299 and the new remainder 50,and apply the division lemma to get
299 = 50 x 5 + 49
We consider the new divisor 50 and the new remainder 49,and apply the division lemma to get
50 = 49 x 1 + 1
We consider the new divisor 49 and the new remainder 1,and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 648 and 997 is 1
Notice that 1 = HCF(49,1) = HCF(50,49) = HCF(299,50) = HCF(349,299) = HCF(648,349) = HCF(997,648) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 648, 997 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 648, 997?
Answer: HCF of 648, 997 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 648, 997 using Euclid's Algorithm?
Answer: For arbitrary numbers 648, 997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
