Highest Common Factor of 501, 700 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 501, 700 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 700 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 501, 700 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 501, 700 is 1.
HCF(501, 700) = 1
HCF of 501, 700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 501, 700 is 1.
Highest Common Factor of 501,700 is 1
Step 1: Since 700 > 501, we apply the division lemma to 700 and 501, to get
700 = 501 x 1 + 199
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 199 and 501, to get
501 = 199 x 2 + 103
Step 3: We consider the new divisor 199 and the new remainder 103, and apply the division lemma to get
199 = 103 x 1 + 96
We consider the new divisor 103 and the new remainder 96,and apply the division lemma to get
103 = 96 x 1 + 7
We consider the new divisor 96 and the new remainder 7,and apply the division lemma to get
96 = 7 x 13 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 501 and 700 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(96,7) = HCF(103,96) = HCF(199,103) = HCF(501,199) = HCF(700,501) .
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Frequently Asked Questions on HCF of 501, 700 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 501, 700?
Answer: HCF of 501, 700 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 700 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.