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 779, 646 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 646 is 19 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 779, 646 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 779, 646 is 19.
HCF(779, 646) = 19
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 779, 646 is 19.
Step 1: Since 779 > 646, we apply the division lemma to 779 and 646, to get
779 = 646 x 1 + 133
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 133 and 646, to get
646 = 133 x 4 + 114
Step 3: We consider the new divisor 133 and the new remainder 114, and apply the division lemma to get
133 = 114 x 1 + 19
We consider the new divisor 114 and the new remainder 19, and apply the division lemma to get
114 = 19 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 779 and 646 is 19
Notice that 19 = HCF(114,19) = HCF(133,114) = HCF(646,133) = HCF(779,646) .
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 779, 646?
Answer: HCF of 779, 646 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 646 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.