Highest Common Factor of 203, 714 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 203, 714 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 714 is 7 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 203, 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 203, 714 is 7.
HCF(203, 714) = 7
HCF of 203, 714 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 203, 714 is 7.
Highest Common Factor of 203,714 is 7
Step 1: Since 714 > 203, we apply the division lemma to 714 and 203, to get
714 = 203 x 3 + 105
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 105 and 203, to get
203 = 105 x 1 + 98
Step 3: We consider the new divisor 105 and the new remainder 98, and apply the division lemma to get
105 = 98 x 1 + 7
We consider the new divisor 98 and the new remainder 7, and apply the division lemma to get
98 = 7 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 203 and 714 is 7
Notice that 7 = HCF(98,7) = HCF(105,98) = HCF(203,105) = HCF(714,203) .
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Frequently Asked Questions on HCF of 203, 714 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 203, 714?
Answer: HCF of 203, 714 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 714 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.