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 7456, 3535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7456, 3535 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 7456, 3535 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 7456, 3535 is 1.
HCF(7456, 3535) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7456, 3535 is 1.
Step 1: Since 7456 > 3535, we apply the division lemma to 7456 and 3535, to get
7456 = 3535 x 2 + 386
Step 2: Since the reminder 3535 ≠ 0, we apply division lemma to 386 and 3535, to get
3535 = 386 x 9 + 61
Step 3: We consider the new divisor 386 and the new remainder 61, and apply the division lemma to get
386 = 61 x 6 + 20
We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get
61 = 20 x 3 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7456 and 3535 is 1
Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(386,61) = HCF(3535,386) = HCF(7456,3535) .
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 7456, 3535?
Answer: HCF of 7456, 3535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7456, 3535 using Euclid's Algorithm?
Answer: For arbitrary numbers 7456, 3535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.