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 3451, 5369 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3451, 5369 is 7 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 3451, 5369 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 3451, 5369 is 7.
HCF(3451, 5369) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3451, 5369 is 7.
Step 1: Since 5369 > 3451, we apply the division lemma to 5369 and 3451, to get
5369 = 3451 x 1 + 1918
Step 2: Since the reminder 3451 ≠ 0, we apply division lemma to 1918 and 3451, to get
3451 = 1918 x 1 + 1533
Step 3: We consider the new divisor 1918 and the new remainder 1533, and apply the division lemma to get
1918 = 1533 x 1 + 385
We consider the new divisor 1533 and the new remainder 385,and apply the division lemma to get
1533 = 385 x 3 + 378
We consider the new divisor 385 and the new remainder 378,and apply the division lemma to get
385 = 378 x 1 + 7
We consider the new divisor 378 and the new remainder 7,and apply the division lemma to get
378 = 7 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3451 and 5369 is 7
Notice that 7 = HCF(378,7) = HCF(385,378) = HCF(1533,385) = HCF(1918,1533) = HCF(3451,1918) = HCF(5369,3451) .
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 3451, 5369?
Answer: HCF of 3451, 5369 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3451, 5369 using Euclid's Algorithm?
Answer: For arbitrary numbers 3451, 5369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.