Highest Common Factor of 785, 7777 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 785, 7777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 7777 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 785, 7777 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 785, 7777 is 1.
HCF(785, 7777) = 1
HCF of 785, 7777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 7777 is 1.
Highest Common Factor of 785,7777 is 1
Step 1: Since 7777 > 785, we apply the division lemma to 7777 and 785, to get
7777 = 785 x 9 + 712
Step 2: Since the reminder 785 ≠ 0, we apply division lemma to 712 and 785, to get
785 = 712 x 1 + 73
Step 3: We consider the new divisor 712 and the new remainder 73, and apply the division lemma to get
712 = 73 x 9 + 55
We consider the new divisor 73 and the new remainder 55,and apply the division lemma to get
73 = 55 x 1 + 18
We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get
55 = 18 x 3 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 7777 is 1
Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(73,55) = HCF(712,73) = HCF(785,712) = HCF(7777,785) .
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Frequently Asked Questions on HCF of 785, 7777 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 785, 7777?
Answer: HCF of 785, 7777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 7777 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 7777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.