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 3512, 764 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3512, 764 is 4 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 3512, 764 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 3512, 764 is 4.
HCF(3512, 764) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3512, 764 is 4.
Step 1: Since 3512 > 764, we apply the division lemma to 3512 and 764, to get
3512 = 764 x 4 + 456
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 456 and 764, to get
764 = 456 x 1 + 308
Step 3: We consider the new divisor 456 and the new remainder 308, and apply the division lemma to get
456 = 308 x 1 + 148
We consider the new divisor 308 and the new remainder 148,and apply the division lemma to get
308 = 148 x 2 + 12
We consider the new divisor 148 and the new remainder 12,and apply the division lemma to get
148 = 12 x 12 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3512 and 764 is 4
Notice that 4 = HCF(12,4) = HCF(148,12) = HCF(308,148) = HCF(456,308) = HCF(764,456) = HCF(3512,764) .
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 3512, 764?
Answer: HCF of 3512, 764 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3512, 764 using Euclid's Algorithm?
Answer: For arbitrary numbers 3512, 764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.