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 379, 630, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 379, 630, 714 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 379, 630, 714 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 379, 630, 714 is 1.
HCF(379, 630, 714) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 379, 630, 714 is 1.
Step 1: Since 630 > 379, we apply the division lemma to 630 and 379, to get
630 = 379 x 1 + 251
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 251 and 379, to get
379 = 251 x 1 + 128
Step 3: We consider the new divisor 251 and the new remainder 128, and apply the division lemma to get
251 = 128 x 1 + 123
We consider the new divisor 128 and the new remainder 123,and apply the division lemma to get
128 = 123 x 1 + 5
We consider the new divisor 123 and the new remainder 5,and apply the division lemma to get
123 = 5 x 24 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 630 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(123,5) = HCF(128,123) = HCF(251,128) = HCF(379,251) = HCF(630,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get
714 = 1 x 714 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1
Notice that 1 = HCF(714,1) .
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 379, 630, 714?
Answer: HCF of 379, 630, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 379, 630, 714 using Euclid's Algorithm?
Answer: For arbitrary numbers 379, 630, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.