Highest Common Factor of 785, 646, 807, 248 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, 646, 807, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 646, 807, 248 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, 646, 807, 248 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, 646, 807, 248 is 1.
HCF(785, 646, 807, 248) = 1
HCF of 785, 646, 807, 248 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, 646, 807, 248 is 1.
Highest Common Factor of 785,646,807,248 is 1
Step 1: Since 785 > 646, we apply the division lemma to 785 and 646, to get
785 = 646 x 1 + 139
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 139 and 646, to get
646 = 139 x 4 + 90
Step 3: We consider the new divisor 139 and the new remainder 90, and apply the division lemma to get
139 = 90 x 1 + 49
We consider the new divisor 90 and the new remainder 49,and apply the division lemma to get
90 = 49 x 1 + 41
We consider the new divisor 49 and the new remainder 41,and apply the division lemma to get
49 = 41 x 1 + 8
We consider the new divisor 41 and the new remainder 8,and apply the division lemma to get
41 = 8 x 5 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 646 is 1
Notice that 1 = HCF(8,1) = HCF(41,8) = HCF(49,41) = HCF(90,49) = HCF(139,90) = HCF(646,139) = HCF(785,646) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 807 > 1, we apply the division lemma to 807 and 1, to get
807 = 1 x 807 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 807 is 1
Notice that 1 = HCF(807,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 248 > 1, we apply the division lemma to 248 and 1, to get
248 = 1 x 248 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 248 is 1
Notice that 1 = HCF(248,1) .
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Frequently Asked Questions on HCF of 785, 646, 807, 248 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, 646, 807, 248?
Answer: HCF of 785, 646, 807, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 646, 807, 248 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 646, 807, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.