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 552, 758 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 552, 758 is 2 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 552, 758 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 552, 758 is 2.
HCF(552, 758) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 552, 758 is 2.
Step 1: Since 758 > 552, we apply the division lemma to 758 and 552, to get
758 = 552 x 1 + 206
Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 206 and 552, to get
552 = 206 x 2 + 140
Step 3: We consider the new divisor 206 and the new remainder 140, and apply the division lemma to get
206 = 140 x 1 + 66
We consider the new divisor 140 and the new remainder 66,and apply the division lemma to get
140 = 66 x 2 + 8
We consider the new divisor 66 and the new remainder 8,and apply the division lemma to get
66 = 8 x 8 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 552 and 758 is 2
Notice that 2 = HCF(8,2) = HCF(66,8) = HCF(140,66) = HCF(206,140) = HCF(552,206) = HCF(758,552) .
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 552, 758?
Answer: HCF of 552, 758 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 552, 758 using Euclid's Algorithm?
Answer: For arbitrary numbers 552, 758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.