Highest Common Factor of 7790, 4207 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 7790, 4207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7790, 4207 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 7790, 4207 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 7790, 4207 is 1.
HCF(7790, 4207) = 1
HCF of 7790, 4207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7790, 4207 is 1.
Highest Common Factor of 7790,4207 is 1
Step 1: Since 7790 > 4207, we apply the division lemma to 7790 and 4207, to get
7790 = 4207 x 1 + 3583
Step 2: Since the reminder 4207 ≠ 0, we apply division lemma to 3583 and 4207, to get
4207 = 3583 x 1 + 624
Step 3: We consider the new divisor 3583 and the new remainder 624, and apply the division lemma to get
3583 = 624 x 5 + 463
We consider the new divisor 624 and the new remainder 463,and apply the division lemma to get
624 = 463 x 1 + 161
We consider the new divisor 463 and the new remainder 161,and apply the division lemma to get
463 = 161 x 2 + 141
We consider the new divisor 161 and the new remainder 141,and apply the division lemma to get
161 = 141 x 1 + 20
We consider the new divisor 141 and the new remainder 20,and apply the division lemma to get
141 = 20 x 7 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7790 and 4207 is 1
Notice that 1 = HCF(20,1) = HCF(141,20) = HCF(161,141) = HCF(463,161) = HCF(624,463) = HCF(3583,624) = HCF(4207,3583) = HCF(7790,4207) .
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Frequently Asked Questions on HCF of 7790, 4207 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 7790, 4207?
Answer: HCF of 7790, 4207 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7790, 4207 using Euclid's Algorithm?
Answer: For arbitrary numbers 7790, 4207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.