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 3401, 9778 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3401, 9778 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 3401, 9778 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 3401, 9778 is 1.
HCF(3401, 9778) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3401, 9778 is 1.
Step 1: Since 9778 > 3401, we apply the division lemma to 9778 and 3401, to get
9778 = 3401 x 2 + 2976
Step 2: Since the reminder 3401 ≠ 0, we apply division lemma to 2976 and 3401, to get
3401 = 2976 x 1 + 425
Step 3: We consider the new divisor 2976 and the new remainder 425, and apply the division lemma to get
2976 = 425 x 7 + 1
We consider the new divisor 425 and the new remainder 1, and apply the division lemma to get
425 = 1 x 425 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3401 and 9778 is 1
Notice that 1 = HCF(425,1) = HCF(2976,425) = HCF(3401,2976) = HCF(9778,3401) .
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 3401, 9778?
Answer: HCF of 3401, 9778 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3401, 9778 using Euclid's Algorithm?
Answer: For arbitrary numbers 3401, 9778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.