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 713, 921, 492, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 713, 921, 492, 63 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 713, 921, 492, 63 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 713, 921, 492, 63 is 1.
HCF(713, 921, 492, 63) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 713, 921, 492, 63 is 1.
Step 1: Since 921 > 713, we apply the division lemma to 921 and 713, to get
921 = 713 x 1 + 208
Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 208 and 713, to get
713 = 208 x 3 + 89
Step 3: We consider the new divisor 208 and the new remainder 89, and apply the division lemma to get
208 = 89 x 2 + 30
We consider the new divisor 89 and the new remainder 30,and apply the division lemma to get
89 = 30 x 2 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 713 and 921 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(89,30) = HCF(208,89) = HCF(713,208) = HCF(921,713) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 492 > 1, we apply the division lemma to 492 and 1, to get
492 = 1 x 492 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 492 is 1
Notice that 1 = HCF(492,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1
Notice that 1 = HCF(63,1) .
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 713, 921, 492, 63?
Answer: HCF of 713, 921, 492, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 713, 921, 492, 63 using Euclid's Algorithm?
Answer: For arbitrary numbers 713, 921, 492, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.