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 951, 694, 139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 694, 139 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 951, 694, 139 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 951, 694, 139 is 1.
HCF(951, 694, 139) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 694, 139 is 1.
Step 1: Since 951 > 694, we apply the division lemma to 951 and 694, to get
951 = 694 x 1 + 257
Step 2: Since the reminder 694 ≠ 0, we apply division lemma to 257 and 694, to get
694 = 257 x 2 + 180
Step 3: We consider the new divisor 257 and the new remainder 180, and apply the division lemma to get
257 = 180 x 1 + 77
We consider the new divisor 180 and the new remainder 77,and apply the division lemma to get
180 = 77 x 2 + 26
We consider the new divisor 77 and the new remainder 26,and apply the division lemma to get
77 = 26 x 2 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 951 and 694 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(77,26) = HCF(180,77) = HCF(257,180) = HCF(694,257) = HCF(951,694) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 139 > 1, we apply the division lemma to 139 and 1, to get
139 = 1 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 139 is 1
Notice that 1 = HCF(139,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 951, 694, 139?
Answer: HCF of 951, 694, 139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 694, 139 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 694, 139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.