Highest Common Factor of 714, 4186, 6455 using Euclid's algorithm
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 714, 4186, 6455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 4186, 6455 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 714, 4186, 6455 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 714, 4186, 6455 is 1.
HCF(714, 4186, 6455) = 1
HCF of 714, 4186, 6455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 4186, 6455 is 1.
Highest Common Factor of 714,4186,6455 is 1
Step 1: Since 4186 > 714, we apply the division lemma to 4186 and 714, to get
4186 = 714 x 5 + 616
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 616 and 714, to get
714 = 616 x 1 + 98
Step 3: We consider the new divisor 616 and the new remainder 98, and apply the division lemma to get
616 = 98 x 6 + 28
We consider the new divisor 98 and the new remainder 28,and apply the division lemma to get
98 = 28 x 3 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 714 and 4186 is 14
Notice that 14 = HCF(28,14) = HCF(98,28) = HCF(616,98) = HCF(714,616) = HCF(4186,714) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6455 > 14, we apply the division lemma to 6455 and 14, to get
6455 = 14 x 461 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 6455 is 1
Notice that 1 = HCF(14,1) = HCF(6455,14) .
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Frequently Asked Questions on HCF of 714, 4186, 6455 using Euclid's Algorithm
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 714, 4186, 6455?
Answer: HCF of 714, 4186, 6455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 4186, 6455 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 4186, 6455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
